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On anisotropic Gauss-Bonnet cosmologies in (n+1) dimensions, governed by an n-dimensional Finslerian 4-metricSep 29 2009Apr 30 2010The (n +1)-dimensional Einstein-Gauss-Bonnet (EGB) model is considered. For diagonal cosmological metrics, the equations of motion are written as a set of Lagrange equations with the effective Lagrangian containing two "minisuperspace" metrics on R^n: ... More

Regularization by ε-metricFeb 08 2019The regularization of propagators by means of a complex metric is considered. (The paper is an English translation of the first of two articles in Russian published by the author in 1987-88: V.D. Ivashchuk, Regularization by {\epsilon}-metric. I, Izvestiya ... More

On stability of exponential cosmological solutions with non-static volume factor in the Einstein-Gauss-Bonnet modelJul 05 2016Jul 15 2016A (n+1)-dimensional gravitational model with Gauss-Bonnet term and cosmological constant term is considered. When ansatz with diagonal cosmological metrics is adopted, the solutions with exponential dependence of scale factors: a_i ~ exp( v^i t), i = ... More

On cosmological-type solutions in multi-dimensional model with Gauss-Bonnet termOct 18 2009Aug 26 2010A (n + 1)-dimensional Einstein-Gauss-Bonnet (EGB) model is considered. For diagonal cosmological-type metrics, the equations of motion are reduced to a set of Lagrange equations. The effective Lagrangian contains two "minisuperspace" metrics on R^n. The ... More

Composite Electric $s$-Brane Solutions with Maximal Charge DensitiesJul 29 2005In this paper we consider $(n+1)$-dimensional cosmological model with scalar field and antisymmetric $(p+2)$-form. Using an electric composite $Sp$-brane ansatz the field equations for the original system reduce to the equations for a Toda-like system ... More

Composite electric S-brane solutions with maximal number of branesJul 27 2004Nov 16 2004In this paper we consider (n+1)-dimensional cosmological model with scalar field and antisymmetric (p+2)-form. Using an electric composite Sp-brane ansatz the field equations for the original system reduce to the equations for a Toda-like system with ... More

Quantum billiards in multidimensional models with fields of formsJun 27 2013Sep 10 2014Bianchi type I cosmological model in (n+1)-dimensional gravity with several forms is considered. When the electric non-composite brane ansatz is adopted, the Wheeler-DeWitt (WDW) equation for the model, written in a conformally covariant form, is analyzed. ... More

Black hole p-brane solutions for general intersection rulesOct 05 1999Black hole generalized p-brane solutions for a wide class of intersection rules are obtained. The solutions are defined on a manifold that contains a product of n - 1 Ricci-flat ``internal'' spaces. They are defined up to a set of functions H_s obeying ... More

Multidimensional Classical and Quantum Cosmology with Perfect FluidMar 31 1995Dec 28 2006A cosmological model describing the evolution of n Ricci-flat spaces (n>1) in the presence of 1-component perfect-fluid and minimally coupled scalar field is considered. When the pressures in all spaces are proportional to the density, the Einstein and ... More

Multidimensional Cosmology with $m$-Component Perfect FluidMar 31 1994A cosmological model describing the evolution of $n$ Einstein spaces $(n>1)$ with $m$-component perfect-fluid matter is considered. When all spaces are Ricci-flat and for any $\alpha$-th component the pressures in all spaces are proportional to the density: ... More

Black brane solutions related to non-singular Kac-Moody algebrasJan 23 2011A multidimensional gravitational model containing scalar fields and antisymmetric forms is considered. The manifold is chosen in the form M = M_0 x M_1 x ... x M_n, where M_i are Einstein spaces (i > 0). The sigma-model approach and exact solutions with ... More

On billiard approach in multidimensional cosmological modelsNov 17 2008A short overview of the billiard approach for cosmological-type models with n Einstein factor-spaces is presented. We start with the billiard representation for pseudo-Euclidean Toda-like systems of cosmological origin. Then we consider cosmological model ... More

Intersecting p-brane Solutions in Multidimensional Gravity and M-theoryDec 07 1996Multidimensional gravitational model on the manifold $M = M_0 \times \prod_{i=1}^{n} M_i$, where $M_i$ are Einstein spaces ($i \geq 1$), is considered. The action contains $m = 2^n -1$ dilatonic scalar fields $\phi^I$ and $m$ (antisymmetric) forms $A^I$. ... More

Billiard Representation for Multidimensional Cosmology with Multicomponent Perfect Fluid near the SingularityJul 19 1994Jul 21 1994The multidimensional cosmological model describing the evolution of $n$ Einstein spaces in the presence of multicomponent perfect fluid is considered. When certain restrictions on the parameters of the model are imposed, the dynamics of the model near ... More

On the "scattering law" for Kasner parameters appearing in asymptotics of an exact S-brane solutionDec 27 2007Jul 04 2008A multidimensional cosmological model with scalar and form fields [1-4] is studied. An exact S-brane solution (either electric or magnetic) in a model with l scalar fields and one antisymmetric form of rank m > 1 is considered. This solution is defined ... More

Problems of G and multidimensional modelsAug 08 2002The relations for G-dot in multidimensional model with Ricci-flat internal space and multicomponent perfect fluid are obtained. A two-component example: dust + 5-brane, is considered.

On singular solutions in multidimensional gravityJul 28 1995It is proved that the Riemann tensor squared is divergent as $\tau \ra 0$ for a wide class of cosmological metrics with non-exceptional Kasner-like behaviour of scale factors as $\tau \ra 0$, where $\tau$ is synchronous time. Using this result it is shown ... More

Billiard representation for pseudo-Euclidean Toda-like systems of cosmological originNov 03 2008The pseudo-Euclidean Toda-like system of cosmological origin is considered. When certain restrictions on the parameters of the model are imposed, the dynamics of the model near the ``singularity'' is reduced to a billiard on the (n-1)-dimensional Lobachevsky ... More

Dually-charged mesoatom on the space of constant negative curvatureApr 06 2005The discrete spectrum solutions corresponding to dually-charged mesoatom on the space of constant negative curvature are obtained. The discrete spectrum of energies is finite and vanishes, when the magnetic charge of the nucleus exceeds the critical value. ... More

Sigma-model for Generalized Composite p-branesMay 06 1997Aug 12 1998A multidimensional gravitational model containing several dilatonic scalar fields and antisymmetric forms is considered. The manifold is chosen in the form M = M_0 x M_1 x ... x M_n, where M_i are Einstein spaces (i > 0). The block-diagonal metric is ... More

On Time Variations of Gravitational and Yang-Mills Constants in a Cosmological Model of Superstring OriginJan 21 2014In the framework of 10-dimensional "Friedmann-Calabi-Yau" cosmology of superstring origin we show that the time variation of either Newton's gravitational constant or Yang-Mills one is unavoidable in the present epoch.

Quantum billiards in multidimensional models with branesOct 16 2013Mar 11 2014Gravitational D-dimensional model with l scalar fields and several forms is considered. When cosmological type diagonal metric is chosen, an electromagnetic composite brane ansatz is adopted and certain restrictions on the branes are imposed the conformally ... More

On the "scattering law" for Kasner parameters in the model with one-component anisotropic fluidDec 31 2009A multidimensional cosmological type model with 1-component anisotropic fluid is considered. An exact solution is obtained. This solution is defined on a product manifold containing n Ricci-flat factor spaces. We singled out a special solution governed ... More

P-brane black holes for general intersectionsFeb 25 2000Apr 17 2009Black hole generalized p-brane solutions for a wide class of intersection rules are presented. The solutions are defined on a manifold that contains a product of n - 1 Ricci-flat internal spaces. They are defined up to moduli functions H_s = H_s(R) obeying ... More

Billiard Representation for Multidimensional Cosmology with Intersecting p-branes near the SingularityApr 09 1999Multidimensional model describing the cosmological evolution of n Einstein spaces in the theory with l scalar fields and forms is considered. When electro-magnetic composite p-brane ansatz is adopted, and certain restrictions on the parameters of the ... More

Multidimensional Extremal Dilatonic Black Holes in String-like Model with Cosmological TermMar 15 1996A string-like model with the "cosmological constant" $\Lambda$ is considered. The Maki-Shiraishi multi-black-hole solution \cite{MS1} is generalized to space-times with a Ricci-flat internal space. For $\Lambda = 0$ the obtained solution in the one-black-hole ... More

Billiard Representation for Multidimensional Quantum Cosmology near the SingularityNov 04 1994The degenerate Lagrangian system describing a lot of cosmological models is considered. When certain restrictions on the parameters of the model are imposed, the dynamics of the model near the "singularity" is reduced to a billiard on the Lobachevsky ... More

Exact solutions in multidimensional gravity with antisymmetric formsOct 30 2001Jul 04 2005This topical review deals with a multidimensional gravitational model containing dilatonic scalar fields and antisymmetric forms. The manifold is chosen in the form M = M_0 x M_1 x ...x M_n, where M_i are Einstein spaces (i >0). The sigma-model approach ... More

Multidimensional cosmological and spherically symmetric solutions with intersecting p-branesJan 02 1999Feb 25 2002Multidimensional model describing the "cosmological" and/or spherically symmetric configuration with n+1 Einstein spaces in the theory with several scalar fields and forms is considered. When electro-magnetic composite p-brane ansatz is adopted, n "internal" ... More

Majumdar-Papapetrou Type Solutions in Sigma-model and Intersecting p-branesFeb 18 1998Sep 15 1998The block-orthogonal generalization of the Majumdar-Papapetrou type solutions for the sigma-model studied earlier are obtained and corresponding solutions with p-branes are considered. The existence of solutions and the number of independent harmonic ... More

Toda p-brane black holes and polynomials related to Lie algebrasFeb 25 2000Apr 17 2009Black hole generalized p-brane solutions for a wide class of intersection rules are obtained. The solutions are defined on a manifold that contains a product of n - 1 Ricci-flat internal spaces. They are defined up to a set of functions H_s obeying non-linear ... More

Multidimensional Gravity with p-branesJan 13 1998A short review of recent results of authors on sigma-model approach in multidimensional gravity with p-branes is presented.

Multidimensional Gravity with Einstein Internal SpacesDec 05 1996A multidimensional gravitational model on the manifold $M = M_0 \times \prod_{i=1}^{n} M_i$, where M_i are Einstein spaces ($i \geq 1$), is studied. For $N_0 = dim M_0 > 2$ the $\sigma$ model representation is considered and it is shown that the corresponding ... More

Thick brane world model from perfect fluidOct 30 2001A (1 + d)-dimensional thick "brane world" model with varying Lambda-term is considered. The model is generalized to the case of a chain of Ricci-flat internal spaces when the matter source is an anisotropic perfect fluid. The "horizontal" part of potential ... More

Multidimensional Classical and Quantum Cosmology with Intersecting p-branesAug 28 1997Multidimensional cosmological model describing the evolution of n+1 Einstein spaces in the theory with several scalar fields and forms is considered. When a (electro-magnetic composite) p-brane Ansatz is adopted the field equations are reduced to the ... More

On exponential cosmological type solutions in the model with Gauss-Bonnet term and variation of gravitational constantMar 03 2015Oct 02 2016A D-dimensional gravitational model with Gauss-Bonnet term is considered. When ansatz with diagonal cosmological type metrics is adopted, we find solutions with exponential dependence of scale factors (with respect to "synchronous-like" variable) which ... More

Stable exponential cosmological solutions with $3$- and $l$-dimensional factor spaces in the Einstein-Gauss-Bonnet model with a $Λ$-termDec 27 2017A $D$-dimensional gravitational model with a Gauss-Bonnet term and the cosmological term $\Lambda$ is studied. We assume the metrics to be diagonal cosmological ones. For certain fine-tuned $\Lambda $, we find a class of solutions with exponential time ... More

Exponential cosmological solutions with two factor spaces in EGB model with $Λ= 0$ revisitedApr 10 2019We study exact cosmological solutions in $D$-dimensional Einstein-Gauss-Bonnet model (with zero cosmological term) governed by two non-zero constants: $\alpha_1$ and $\alpha_2$. We deal with exponential dependence (in time) of two scale factors governed ... More

Examples of stable exponential cosmological solutions with three factor spaces in EGB model with a $Λ$-termDec 26 2018Jan 25 2019We deal with Einstein-Gauss-Bonnet model in dimension $D$ with a $\Lambda$-term. We obtain three stable cosmological solutions with exponential behavior (in time) of three scale factors corresponding to subspaces of dimensions $(l_0,l_1,l_2) = (3, 4, ... More

Electric S-brane solutions with parallel forms on Ricci-flat factor spaceOct 14 2006In this paper we generalize electric S-brane solutions with maximal number of branes. Previously for the action containing D-dimensional gravity, a scalar field and antisymmetric (p+2)-form we found composite, electric S-brane solutions with all non-zero ... More

Multidimensional integrable vacuum cosmology with two curvaturesFeb 29 1996The vacuum cosmological model on the manifold $R \times M_1 \times \ldots \times M_n$ describing the evolution of $n$ Einstein spaces of non-zero curvatures is considered. For $n = 2$ the Einstein equations are reduced to the Abel (ordinary differential) ... More

On avoiding cosmological oscillating behavior for S-brane solutions with diagonal metricsSep 16 2005Dec 30 2005In certain string inspired higher dimensional cosmological models it has been conjectured that there is generic, chaotic oscillating behavior near the initial singularity -- the Kasner parameters which characterize the asymptotic form of the metric "jump" ... More

Multidimensional Cosmology with Multicomponent Perfect Fluid and Toda LatticesJul 14 1994The integration procedure for multidimensional cosmological models with multicomponent perfect fluid in spaces of constant curvature is developed. Reduction of pseudo-Euclidean Toda-like systems to the Euclidean ones is done. Some known solutions are ... More

Multidimensional Classical and Quantum Wormholes in Models with Cosmological ConstantMay 06 1994A multidimensional cosmological model with space-time consisting of $n (n \ge 2)$ Einstein spaces $M_{i}$ is investigated in the presence of a cosmological constant $\Lambda$ and a homogeneous minimally coupled scalar field $\varphi(t)$ as a matter source. ... More

Integrable Multidimensional Classical and Quantum Cosmology for Intersecting p-branesAug 15 1997Multidimensional cosmological model describing the evolution of one Einstein space of non-zero curvature and n Ricci-flat internal spaces is considered. The action contains several dilatonic scalar fields and antisymmetric forms. When forms are chosen ... More

Composite electric S-brane solutions with maximal number of branes and several scalar fieldsSep 20 2005A (n+1)-dimensional cosmological model with a set of scalar fields and antisymmetric (p+2)-form is considered. Some of scalar fields may have negative kinetic terms, i.e. they may describe ``phantom'' fields. For certain odd dimensions (D = 4m+1 = 5, ... More

Multidimensional sigma-models with composite electric p-branesMay 05 1997Oct 13 1997We consider a gravitational model on a manifold M = M_0 x M_1 x...x M_n with oriented connected Einstein internal spaces M_1,...,M_n. The matter part of the action contains several scalar fields and antisymmetric forms. With Ricci-flat internal spaces, ... More

Post-Newtonian parameters for general black hole and spherically symmetric p-brane solutionsJan 11 2001Black hole p-brane solutions for a wide class of intersection rules are considered. The solutions are defined on a manifold which contains a product of n-1 Ricci-flat "internal'' spaces. The post-Newtonian parameters "beta" and "gamma" corresponding to ... More

Simulation of intersecting black brane solutionsNov 26 2002A family of spherically symmetric solutions with horizon in the model with multi-component anisotropic fluid (MCAF) is obtained. The metric of any solution contains n-1 Ricci-flat ``internal space'' metrics and for certain equations of state (p_i = \pm ... More

Non-singular solutions in multidimensional model with scalar fields and exponential potentialApr 11 2005Jul 05 2005Using developed earlier our methods for multidimensional models \cite{M1,M2,M3} a family of cosmological-type solutions in D-dimensional model with two sets of scalar fields \vec{\phi} and \vec{\psi} and exponential potential depending upon \vec{\phi} ... More

P-brane Black Holes and Post-Newtonian ApproximationFeb 22 1999We analyze p-brane black hole solutions with `block-orthogonal' intersection rules. The post-Newtonian parameters beta and gamma corresponding to 4-dimensional section of the metric are calculated. A family of solutions with gamma=1 is singled out. Some ... More

Composite S-Brane Solutions On Product Of Ricci-Flat SpacesApr 16 2004A family of generalized $S$-brane solutions with orthogonal intersection rules and $n$ Ricci-flat factor spaces in the theory with several scalar fields and antisymmetric forms is considered. Two subclasses of solutions with power-law and exponential ... More

Multidimensional Cosmology for Intersecting p-Branes with Static Internal SpacesApr 20 1998Multidimensional cosmological model with static internal spaces describing the evolution of an Einstein space of non-zero curvature and n internal spaces is considered. The action contains several dilatonic scalar fields and antisymmetric forms and lambda-term. ... More

On black hole solutions in model with anisotropic fluidNov 13 2002A family of spherically symmetric solutions in the model with 1-component anisotropic fluid is considered. The metric of the solution depends on a parameter q > 0 relating radial pressure and the density and contains n -1 parameters corresponding to Ricci-flat ... More

S-brane solutions with (anti-)self-dual parallel charge density form on a Ricci-flat submanifoldDec 24 2006A D-dimensional cosmological model with several scalar fields and antisymmetric (p+2)-form is considered. For dimensions D = 4m+1 = 5, 9, 13, ... and p = 2m-1 = 1, 3, 5, ... we obtain a family of new cosmological type solutions with 4m-dimensional oriented ... More

S-brane solutions with acceleration in models with forms and multiple exponential potentialsMay 01 2004A family of generalized S-brane solutions with orthogonal intersection rules and n Ricci-flat factor spaces in the theory with several scalar fields, antisymmetric forms and multiple scalar potential is considered. Two subclasses of solutions with power-law ... More

Billiard representation for multidimensional multi-scalar cosmological model with exponential potentialsDec 30 2003Multidimensional cosmological-type model with n Einstein factor spaces in the theory with l scalar fields and multiple exponential potential is considered. The dynamics of the model near the singularity is reduced to a billiard on the (N-1)-dimensional ... More

The Reissner-Nordstrom Problem for Intersecting Electric and Magnetic p-BranesOct 09 1997A multidimensional model with (at most) one curved factor space and n Ricci-flat internal spaces is considered, with arbitrary numbers of dilatonic scalar fields and antisymmetric forms of both electric and magnetic types, associated with p-branes in ... More

On black holes in multidimensional theory with Ricci-flat internal spacesJun 26 2010A generalization of the Tangherlini solution for the case of n internal Ricci-flat spaces is obtained. It is shown that in the (2+d)-dimensional section a horizon exists only in the trivial case when the internal-space factors are constant. The p-adic ... More

Electric S-brane solutions corresponding to rank-2 Lie algebras: acceleration and small variation of GDec 30 2008Electric S-brane solutions with two non-composite electric branes and a set of l scalar fields are considered. The intersection rules for branes correspond to Lie algebras A_2, C_2 and G_2. The solutions contain five factor spaces. One of them, M_0, is ... More

Black-brane solution for A_3 algebraAug 12 2002Black p-brane solutions for a wide class of intersection rules and Ricci-flat ``internal'' spaces are considered. They are defined up to moduli functions H_s obeying non-linear differential equations with certain boundary conditions imposed. A new solution ... More

Multidimensional Black Hole Solutions In Model With Perfect FluidMay 23 2002A family of black-hole solutions in the model with 1-component perfect fluid is obtained. The metric of any solution contains (n -1) Ricci-flat "internal space" metrics and for certain equations of state coincides with the metric of black brane (or black ... More

On quantum analogues of p-brane black holesJan 11 2001In a multidimensional model with several scalar fields and an m-form we deal with classical spherically symmetric solutions with one (electric or magnetic) p-brane and Ricci-flat internal spaces and the corresponding solutions to the Wheeler--DeWitt (WDW) ... More

Cosmological solutions in multidimensional model with multiple exponential potentialAug 18 2003Sep 23 2003A family of cosmological solutions with $(n+1)$ Ricci-flat spaces in the theory with several scalar fields and multiple exponential potential is obtained when coupling vectors in exponents obey certain relations. Two subclasses of solutions with power-law ... More

Hyperbolic Kac-Moody Algebra from Intersecting p-branesMar 02 1998May 25 2001A subclass of recently discovered class of solutions in multidimensional gravity with intersecting p-branes related to Lie algebras and governed by a set of harmonic functions is considered. This subclass in case of three Euclidean p-branes (one electric ... More

An S-brane solution with acceleration and small enough variation of GNov 23 2007An S-brane solution with two non-composite electric branes and a set of l scalar fields is considered. The intersection rule for branes corresponds to the Lie algebra A_2. The solution contains five factor spaces with the fifth one interpreted as ``our'' ... More

Fluxbrane and S-brane solutions with polynomials related to rank-2 Lie algebrasDec 26 2006Dec 12 2007Composite fluxbrane and S-brane solutions for a wide class of intersection rules are considered. These solutions are defined on a product manifold R_{*} x M_1 x ... x M_n which contains n Ricci-flat spaces M_1, ..., M_n with 1-dimensional factor spaces ... More

On multidimensional solutions in the Einstein-Gauss-Bonnet model with a cosmological termFeb 17 2016A D-dimensional gravitational model with Gauss-Bonnet and cosmological term is considered. When ansatz with diagonal cosmological metrics is adopted, we overview recent solutions for zero cosmological term and find new examples of solutions for non-zero ... More

Dilatonic dyon black hole solutionsApr 28 2015Jun 12 2015Dilatonic black hole dyon solutions with arbitrary dilatonic coupling constant $\lambda \neq 0$ and canonical sign $\varepsilon = +1$ for scalar field kynetic term are considered. These solutions are defined up to solutions of two master equations for ... More

Electric S-brane solutions with a parallel charge density form on a Ricci-flat factor spaceSep 25 2006We generalize the previously studied cosmological solutions in D-dimensional gravity with an antisymmetric (p+2)-form to the case when the spatial part of the metric is Ricci-flat rather than flat. These generalized solutions are characterized by a parallel ... More

Non-singular solutions in multidimensional cosmology with a perfect fluid: acceleration and variation of GDec 25 2006Mar 09 2008Exact solutions with an exponential behaviour of the scale factors are considered in a multidimensional cosmological model describing the dynamics of n+1 Ricci-flat factor spaces M_i in the presence of a one-component perfect fluid. The pressures in all ... More

Multidimensional cosmology with anisotropic fluid: acceleration and variation of GNov 02 2006Mar 09 2008A multidimensional cosmological model describing the dynamics of n+1 Ricci-flat factor-spaces M_i in the presence of a one-component anisotropic fluid is considered. The pressures in all spaces are proportional to the density: p_i = w_i \rho, i = 0,...,n. ... More

On time variation of G in multidimensional models with two curvaturesFeb 27 2006Expressions for G-dot are considered in a multidimensional model with an Einstein internal space and a multicomponent perfect fluid. In the case of two non-zero curvatures without matter, a mechanism for prediction of small G-dot is suggested. The result ... More

Integrable Multidimensional Cosmology for Intersecting $p$-BranesSep 03 1997A multidimensional field model describing the behaviour of (at most) one Einstein space of non-zero curvature and n Ricci-flat internal spaces is considered. The action contains several dilatonic scalar fields and antisymmetric forms. The problem setting ... More

On new definitions of SI base units. Why is the "atomic" kilogram preferableOct 29 2014We discuss the role of fundamental constants and measurement data for the Planck, Avogadro and Boltzmann constants and the elementary electric charge in connection with the planned transition to new definitions of four base SI units (the kilogram, mole, ... More

Multitemporal generalization of Schwarzschild solutionJun 27 1994The $n$-time generalization of Schwarzschild solution is considered. The equations of geodesics for the metric are integrated. The multitemporal analogues of Newton laws for the extended objects described by the solution are suggested. The scalar-vacuum ... More

Multitemporal generalization of the Tangherlini solutionMay 26 1994The n-time generalization of the Tangherlini solution [1] is considered. The equations of geodesics for the metric are integrated. For $n = 2$ it is shown that the naked singularity is absent only for two sets of parameters, corresponding to the trivial ... More

On Brane Solutions Related to Non-Singular Kac-Moody AlgebrasOct 01 2008Jul 07 2009A multidimensional gravitational model containing scalar fields and antisymmetric forms is considered. The manifold is chosen in the form $M = M_0 \times M_1 \times \cdots \times M_n$, where $M_i$ are Einstein spaces ($i \geq 1$). The sigma-model approach ... More

Monitoring of the Membrane Potential in Proteoliposomes with Incorporated Cytochrome-c Oxidase Using the Fluorescent Dye IndocyanineNov 02 2002A method has been developed to monitor changes of the membrane potential across vesicle membranes in real time. Using the potential-sensitive fluorescent dye indocyanine and on the basis of water/lipid redistribution model, a calculation procedure has ... More

Finite-wavevector phonon coupling to degenerate electronic states in LaSrCuOJul 17 2000We consider finite-k electron-phonon coupling appropriate for a superconductor with a very short coherence length and local intersite pairs. From group theoretical analyis we find that phonons with nonzero k can couple to degenerate electronic states ... More

On pseudo-Riemannian manifolds with many Killing spinorsFeb 26 2009Let $M$ be a pseudo-Riemannian spin manifold of dimension $n$ and signature $s$ and denote by $N$ the rank of the real spinor bundle. We prove that $M$ is locally homogeneous if it admits more than ${3/4}N$ independent Killing spinors with the same Killing ... More

Duality results in Banach and quasi-Banach spaces of homogeneous polynomials and applicationsMar 03 2015Jul 28 2016Spaces of homogeneous polynomials on a Banach space are frequently equipped with quasinorms instead of norms. In this paper we develop a technique to replace the original quasi-norm by a norm in a dual preserving way, in the sense that the dual of the ... More

Finite-wavevector Jahn-Teller-pairing and superconductivity in the cuprat esOct 13 2000A model interaction is proposed in which pairing is caused by a non-local Jahn-Teller (JT) -like instability due to the coupling between planar O states and knot equal to 0 phonons. Apart from pairing, the interaction is found to naturally allow metallic ... More

Braiding of anyonic quasiparticles in the charge transfer statistics of symmetric fractional edge-state Mach-Zehnder interferometerApr 16 2010Apr 26 2010We have studied the zero-temperature statistics of the charge transfer between the two edges of Quantum Hall liquids of, in general, different filling factors, $\nu_{0,1}=1/(2 m_{0,1}+1)$, with $m_0 \geq m_1\geq 0$, forming Mach-Zehnder interferometer. ... More

Radiative Decay Engineering by Triaxial NanoellipsoidsSep 15 2004Sep 17 2004Radiative decay rates of an atom placed near triaxial nanoellipsoid are investigated in long wavelength approximation. Analytical results are obtained in general case. It is shown that triaxial ellipsoid can be used for efficient control of decay rate ... More

Strongly localized plasmon oscillations in a cluster of two metallic nanospheres and their influence on spontaneous emission of an atomNov 11 2005Jun 27 2006The plasmon oscillations in a cluster of two metallic nanospheres are studied theoretically. Particular attention is paid to the case of nearly touching spheres. Simple analytical expressions have been found for the spectra of plasmon oscillations of ... More

The Significance of Non-ergodicity Property of Statistical Mechanics Systems for Understanding Resting State of a Living CellOct 15 2010A better grasp of the physical foundations of life is necessary before we can understand the processes occurring inside a living cell. In his physical theory of the cell, American physiologist Gilbert Ling introduced an important notion of the resting ... More

Beam-energy and system-size dependence of the CMEDec 05 2010The energy dependence of the local ${\cal P}$ and ${\cal CP}$ violation in Au+Au and Cu+Cu collisions in a large energy range is estimated within a simple phenomenological model. It is expected that at LHC the Chiral Magnetic effect (CME) will be about ... More

Classification of stationary compact homogeneous special pseudo Kähler manifolds of semisimple groupsNov 11 1997May 26 1999The variation of Hodge structure of a Calabi-Yau 3-fold induces a canonical K\"ahler metric on its Kuranishi moduli space, known as the Weil-Petersson metric. Similarly, special pseudo K\"ahler manifolds correspond to certain (abstract) variations of ... More

The fluctuating α-effect and Waldmeier relations in the nonlinear dynamo modelsOct 11 2011Oct 13 2011We study the possibility to reproduce the statistical relations of the sunspot activity cycle, like the so-called Waldmeier relations, the cycle period - amplitude and the cycle rise rate - amplitude relations, by means of the mean field dynamo models ... More

Spectroscopic test of Bose-Einstein statistics for photonsJan 12 2010Feb 04 2010Using Bose-Einstein-statistics-forbidden two-photon excitation in atomic barium, we have limited the rate of statistics-violating transitions, as a fraction $\nu$ of an equivalent statistics-allowed transition rate, to $\nu<4.0\times10^{-11}$ at the 90% ... More

Dilepton production from hydrodynamically expanding fireballJan 19 2006A hybrid model is put forward for describing relativistic heavy ion collisions. The early interaction stage responsible for entropy creation is calculated within the transport Quark-Gluon String Model resulting in an initial state. The passage to subsequent ... More

Plasmonic atoms and plasmonic moleculesMar 28 2007The proposed paradigm of plasmonic atoms and plasmonic molecules allows one to describe and predict the strongly localized plasmonic oscillations in the clusters of nanoparticles and some other nanostructures in uniform way. Strongly localized plasmonic ... More

Strong-coupling branching of FQHL edgesJun 25 2004We have developed a theory of quasiparticle backscattering in a system of point contacts formed between single-mode edges of several Fractional Quantum Hall Liquids (FQHLs) with in general different filling factors $\nu_j$ and one common single-mode edge ... More

Semi-central In-In collisions and Brown-Rho scalingSep 28 2005Mar 09 2006In connection with the claim made at the Quark Matter 2005 Conference that the Brown-Rho scaling is ruled out by NA60 data we consider dimuon production from semi-central In+In collisions in a full dynamical model. It is shown that if only a modification ... More

Optical properties of a two-nanospheroid cluster: analytical approachOct 27 2010Optical properties of a plasmonic nano-antenna made of two metallic nanospheroids (prolate or oblate) are investigated analytically in quasistatic approximation. It is shown that in clusters of two nanospheroids, three types of plasmonic modes can be ... More

Thermodynamics of pharmacological action for electron-accepting compounds on activated or damaged cell in the context of Ling's model of the living cellOct 27 2011Aug 20 2012The theory describing action of medicines explored in this paper is based on assumption that vital activity of the cell may be described in terms of the model of two states: resting state and excitation. According to available physiological data excitation ... More

Chiral Magnetic Effect and evolution of electromagnetic fieldSep 23 2011Nov 28 2011The energy dependence of observable two particle correlator in search for the local strong parity violation in Au+Au collisions is estimated within a simple phenomenological model. The model reproduces available RHIC data but at LHC predicts that the ... More

The Chiral Magnetic Effect: Beam-energy and system-size dependenceDec 07 2010We consider the energy dependence of the local ${\cal P}$ and ${\cal CP}$ violation in Au+Au and Cu+Cu collisions over a large energy range within a simple phenomenological model. It is expected that at LHC the chiral magnetic effect will be about 20 ... More

Abstractions of Varying Decentralization Degree for Coupled Multi-Agent SystemsMar 15 2016In this report, we aim at the development of a decentralized abstraction framework for multi-agent systems under coupled constraints, with the possibility for a varying degree of decentralization. The methodology is based on the analysis employed in our ... More