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Brane-world cosmological perturbationsFeb 20 2004Brane-world models provide a phenomenology that allows us to explore the cosmological consequences of some M theory ideas, and at the same time to use precision cosmology as a test of these ideas. In order to achieve this, we need to understand how brane-world ... More

Causal Thermodynamics in RelativitySep 18 1996I review the causal relativistic thermodynamics developed by Israel and Stewart, and discuss some applications in cosmology and astrophysics. The lectures begin with an overview of relativistic fluid dynamics (in a covariant formalism) and equilibrium ... More

Dark Energy from Brane-world GravityFeb 18 2006Recent observations provide strong evidence that the universe is accelerating. This confronts theory with a severe challenge. Explanations of the acceleration within the framework of general relativity are plagued by difficulties. General relativistic ... More

Geometry and dynamics of the brane-worldJan 16 2001Apr 17 2001Recent developments in string theory have led to 5-dimensional warped spacetime models in which standard-model fields are confined to a 3-brane (the observed universe), while gravity can propagate in the fifth dimension. Gravity is localized near the ... More

Cosmological dynamics on the braneApr 24 2000Aug 08 2000In Randall-Sundrum-type brane-world cosmologies, the dynamical equations on the three-brane differ from the general relativity equations by terms that carry the effects of imbedding and of the free gravitational field in the five-dimensional bulk. We ... More

Nonlinear Effects in the Cosmic Microwave BackgroundJul 21 1999Major advances in the observation and theory of cosmic microwave background anisotropies have opened up a new era in cosmology. This has encouraged the hope that the fundamental parameters of cosmology will be determined to high accuracy in the near future. ... More

Magnetized cosmological perturbationsApr 28 1999Mar 31 2000A large-scale cosmic magnetic field affects not only the growth of density perturbations, but also rotational instabilities and anisotropic deformation in the density distribution. We give a fully relativistic treatment of all these effects, incorporating ... More

Nonlinear relativistic corrections to cosmological distances, redshift and gravitational lensing magnification. II - DerivationFeb 09 2014Sep 22 2014We present a derivation of the cosmological distance-redshift relation up to second order in perturbation theory. In addition, we find the observed redshift and the lensing magnification to second order. We do not require that the density contrast is ... More

Dynamics of radiating braneworldsSep 17 2003Sep 16 2004If the observable universe is a braneworld of Randall-Sundrum type, then particle interactions at high energies will produce 5-dimensional gravitons that escape into the bulk. As a result, the Weyl energy density on the brane does not behave like radiation ... More

Nonlinear relativistic corrections to cosmological distances, redshift and gravitational lensing magnification. I - Key resultsJul 09 2012Sep 22 2014The next generation of telescopes will usher in an era of precision cosmology, capable of determining the cosmological model to beyond the percent level. For this to be effective, the theoretical model must be understood to at least the same level of ... More

Observational constraints on an interacting dark energy modelJul 29 2009Dec 02 2009We use observations of cosmic microwave background anisotropies, supernova luminosities and the baryon acoustic oscillation signal in the galaxy distribution to constrain the cosmological parameters in a simple interacting dark energy model with a time-varying ... More

Large-scale instability in interacting dark energy and dark matter fluidsApr 02 2008Jul 30 2008If dark energy interacts with dark matter, this gives a new approach to the coincidence problem. But interacting dark energy models can suffer from pathologies. We consider the case where the dark energy is modelled as a fluid with constant equation of ... More

Gravitational waves from inflation on the braneJun 01 2000Aug 31 2000We discuss the evolution of gravitational waves in a brane-world cosmology embedded in five-dimensional anti-de Sitter spacetime. We show that during slow-roll inflation, modelled as a period of quasi-de Sitter expansion on the brane, there is a discrete ... More

Graceful exit via polymerization of pre-big bang cosmologyJun 25 2007Sep 25 2007We consider a phenomenological modification of the Pre Big Bang scenario using ideas from the resolution of curvature singularities in Loop Quantum Cosmology. We show that non-perturbative Loop modifications to the dynamics, arising from the underlying ... More

Loop quantum gravity effects on inflation and the CMBNov 02 2003Oct 21 2004In loop quantum cosmology, the universe avoids a big bang singularity and undergoes an early and short super-inflation phase. During super-inflation, non-perturbative quantum corrections to the dynamics drive an inflaton field up its potential hill, thus ... More

Why do naked singularities form in gravitational collapse?Sep 14 2001Apr 02 2002We investigate what are the key physical features that cause the development of a naked singularity, rather than a black hole, as the end-state of spherical gravitational collapse. We show that sufficiently strong shearing effects near the singularity ... More

Probing the primordial Universe with MeerKAT and DESNov 04 2016Dec 09 2016It is usually assumed that we will need to wait until next-generation surveys like Euclid, LSST and SKA, in order to improve on the current best constraints on primordial non-Gaussianity from the Planck experiment. We show that two contemporary surveys, ... More

Cosmological magnetic fieldsJul 24 2000Magnetic fields are observed not only in stars, but in galaxies, clusters, and even high redshift Lyman-alpha systems. In principle, these fields could play an important role in structure formation and also affect the anisotropies in the cosmic microwave ... More

Dynamics of interacting dark energyDec 10 2008Mar 20 2009Dark energy and dark matter are only indirectly measured via their gravitational effects. It is possible that there is an exchange of energy within the dark sector, and this offers an interesting alternative approach to the coincidence problem. We consider ... More

Brane-world gravityDec 10 2003Apr 29 2004The observable universe could be a 1+3-surface (the "brane") embedded in a 1+3+d-dimensional spacetime (the "bulk"), with standard-model particles and fields trapped on the brane while gravity is free to access the bulk. At least one of the d extra spatial ... More

Covariant velocity and density perturbations in quasi-Newtonian cosmologiesAug 21 1998Recently a covariant approach to cold matter universes in the zero-shear hypersurfaces (or longitudinal) gauge has been developed. This approach reveals the existence of an integrability condition, which does not appear in standard non-covariant treatments. ... More

Is the Universe homogeneous?Apr 07 2011Oct 06 2011The standard model of cosmology is based on the existence of homogeneous surfaces as the background arena for structure formation. Homogeneity underpins both general relativistic and modified gravity models and is central to the way in which we interpret ... More

The Einstein static universe in Loop Quantum CosmologyJun 29 2007Jan 17 2008Loop Quantum Cosmology strongly modifies the high-energy dynamics of Friedman-Robertson-Walker models and removes the big-bang singularity. We investigate how LQC corrections affect the stability properties of the Einstein static universe. In General ... More

Hunting down horizon-scale effects with multi-wavelength surveysJul 16 2015Oct 12 2015Next-generation cosmological surveys will probe ever larger volumes of the Universe, including the largest scales, near and beyond the horizon. On these scales, the galaxy power spectrum carries signatures of local primordial non-Gaussianity (PNG) and ... More

Brane-world cosmological perturbations: a covariant approachApr 23 2003The standard cosmological model, based on general relativity with an inflationary era, is very effective in accounting for a broad range of observed features of the universe. However, the ongoing puzzles about the nature of dark matter and dark energy, ... More

Linearisation instability of gravity waves?Sep 30 1996Gravity waves in irrotational dust spacetimes are characterised by nonzero magnetic Weyl tensor $H_{ab}$. In the linearised theory, the divergence of $H_{ab}$ is set to zero. Recently Lesame et al. [Phys. Rev. D {\bf 53}, 738 (1996)] presented an argument ... More

General relativistic effects in the galaxy bias at second orderJan 22 2019May 01 2019The local galaxy bias formalism relies on the energy constraint equation at the formation time to relate the metric perturbation to the matter density contrast. In the Newtonian approximation, this relationship is linear, which allows us to specify the ... More

Testing the Cosmological Principle in the radio skyMay 29 2019The Cosmological Principle states that the Universe is statistically isotropic and homogeneous on large scales. In particular, this implies statistical isotropy in the galaxy distribution, after removal of a dipole anisotropy due to the observer's motion. ... More

The Growth of Structure in Interacting Dark Energy ModelsMay 05 2009Jun 24 2009If dark energy interacts with dark matter, there is a change in the background evolution of the universe, since the dark matter density no longer evolves as a^{-3}. In addition, the non-gravitational interaction affects the growth of structure. In principle, ... More

Constraints on the decay of dark matter to dark energy from weak lensing bispectrum tomographyMar 14 2008We consider a phenomenological model for a coupling between the dark matter and dark energy fluids and investigate the sensitivity of a weak lensing measurement for constraining the size of this coupling term. Physically, the functional form of the coupling ... More

Magnetic Bianchi I Universe in Loop Quantum CosmologyDec 10 2008We examine the dynamical consequences of homogeneous cosmological magnetic fields in the framework of loop quantum cosmology. We show that a big-bounce occurs in a collapsing magnetized Bianchi I universe, thus extending the known cases of singularity-avoidance. ... More

The Emergent Universe: inflationary cosmology with no singularityNov 25 2002Oct 25 2003Observations indicate that the universe is effectively flat, but they do not rule out a closed universe. The role of positive curvature is negligible at late times, but can be crucial in the early universe. In particular, positive curvature allows for ... More

Asymmetric brane-worlds with induced gravityNov 19 2004Jan 21 2005The Randall-Sundrum scenario, with a 1+3-dimensional brane in a 5-dimensional bulk spacetime, can be generalized in various ways. We consider the case where the Z2-symmetry at the brane is relaxed, and in addition the gravitational action is generalized ... More

Acoustic oscillations and viscosityFeb 06 1998Jul 08 1998Using a simple thermo-hydrodynamic model that respects relativistic causality, we revisit the analysis of qualitative features of acoustic oscillations in the photon-baryon fluid. The growing photon mean free path introduces transient effects that can ... More

Quintessence with quadratic coupling to dark matterNov 16 2009We introduce a new form of coupling between dark energy and dark matter that is quadratic in their energy densities. Then we investigate the background dynamics when dark energy is in the form of exponential quintessence. The three types of quadratic ... More

Structure formation in the DGP cosmological modelNov 22 2005The DGP brane-world model provides an alternative to the standard LCDM cosmology, in which the late universe accelerates due to a modification of gravity rather than vacuum energy. The cosmological constant $\Lambda$ in LCDM is replaced by a single parameter, ... More

Perturbations in inflationary cosmologies with smooth exitJul 27 1998We give a comprehensive analysis of how scalar and tensor perturbations evolve in cosmologies with a smooth transition from power-law-like and de Sitter-like inflation to a radiation era. Analytic forms for the super-horizon and sub-horizon perturbations ... More

Exact Perturbations for inflation with smooth exitJul 15 1997Apr 09 1998Toy models for the Hubble rate or the scalar field potential have been used to analyze the amplification of scalar perturbations through a smooth transition from inflation to the radiation era. We use a Hubble rate that arises consistently from a decaying ... More

Anisotropic stresses in inhomogeneous universesAug 24 1998Anisotropic stress contributions to the gravitational field can arise from magnetic fields, collisionless relativistic particles, hydrodynamic shear viscosity, gravitational waves, skew axion fields in low-energy string cosmologies, or topological defects. ... More

Density perturbations with relativistic thermodynamicsJul 08 1997Sep 12 1997We investigate cosmological density perturbations in a covariant and gauge-invariant formalism, incorporating relativistic causal thermodynamics to give a self-consistent description. The gradient of density inhomogeneities splits covariantly into a scalar ... More

Stars in the braneworldJul 02 2001Oct 18 2001We show that in a Randall-Sundrum II type braneworld, the vacuum exterior of a spherical star is not in general a Schwarzschild spacetime, but has radiative-type stresses induced by 5-dimensional graviton effects. Standard matching conditions do not lead ... More

Dark Energy and Modified GravityNov 25 2008Explanations of the late-time cosmic acceleration within the framework of general relativity are plagued by difficulties. General relativistic models are mostly based on a dark energy field with fine-tuned, unnatural properties. There is a great variety ... More

Optimising growth of structure constraints on modified gravityJan 30 2019May 31 2019We use growth of structure data to constrain the effective field theory of dark energy. Considering as case study Horndeski theories with the speed of gravitational waves equal to that of light, we show how constraints on the free parameters and the large-scale ... More

Exact non-equilibrium solutions of the Einstein-Boltzmann equations. IINov 14 1996We find exact solutions of the Einstein-Boltzmann equations with relaxational collision term in FRW and Bianchi I spacetimes. The kinematic and thermodynamic properties of the solutions are investigated. We give an exact expression for the bulk viscous ... More

Brane-World GravityApr 22 2010Sep 09 2010The observable universe could be a 1+3-surface (the "brane") embedded in a 1+3+\textit{d}-dimensional spacetime (the "bulk"), with Standard Model particles and fields trapped on the brane while gravity is free to access the bulk. At least one of the \textit{d} ... More

Gravitational waves in preheatingFeb 25 2000We study the evolution of gravitational waves through the preheating era that follows inflation. The oscillating inflaton drives parametric resonant growth of scalar field fluctuations, and although super-Hubble tensor modes are not strongly amplified, ... More

Anisotropic universes with conformal motionFeb 09 1996By imposing natural geometrical and kinematical conditions on a conformal Killing vector in Bianchi I spacetime, we show that a class of axisymmetric metrics admits a conformal motion. This class contains new exact solutions of Einstein's equations, including ... More

Vorticity affects the stability of neutron starsSep 22 1999Dec 14 1999The spin rate \Omega of neutron stars at a given temperature T is constrained by the interplay between gravitational-radiation instabilities and viscous damping. Navier-Stokes theory has been used to calculate the viscous damping timescales and produce ... More

Cosmological perturbations in Horava-Lifshitz theory without detailed balanceJul 10 2009Jan 14 2010In the Horava-Lifshitz theory of quantum gravity, two conditions -- detailed balance and projectability -- are usually assumed. The breaking of projectability simplifies the theory, but it leads to serious problems with the theory. The breaking of detailed ... More

Relativistic corrections and non-Gaussianity in radio continuum surveysJun 04 2012Jan 24 2013Forthcoming radio continuum surveys will cover large volumes of the observable Universe and will reach to high redshifts, making them potentially powerful probes of dark energy, modified gravity and non-Gaussianity. Here we extend recent works by analyzing ... More

Cosmology with Doppler LensingJan 15 2014Jul 08 2014Doppler lensing is the apparent change in object size and magnitude due to peculiar velocities. Objects falling into an overdensity appear larger on its near side, and smaller on its far side, than typical objects at the same redshifts. This effect dominates ... More

Observational constraints on self-accelerating cosmologyMar 14 2006Oct 07 2006The DGP brane-world model provides a simple alternative to the standard LCDM cosmology, with the same number of parameters. There is no dark energy - the late universe self-accelerates due to an infrared modification of gravity. We compute the joint constraints ... More

Gravity-wave detectors as probes of extra dimensionsMay 13 2005If string theory is correct, then our observable Universe may be a 3-dimensional "brane" embedded in a higher-dimensional spacetime. This theoretical scenario should be tested via the state-of-the-art in gravitational experiments -- the current and upcoming ... More

Cosmological perturbations on a magnetised Bianchi I backgroundDec 10 1999May 24 2000Motivated by the isotropy of the CMB spectrum, all existing studies of magnetised cosmological perturbations employ FRW backgrounds. However, it is important, to know the limits of this approximation and the effects one loses by neglecting the anisotropy ... More

Brane-world generalizations of the Einstein static universeMay 17 2001Dec 05 2001A static Friedmann brane in a 5-dimensional bulk (Randall-Sundrum type scenario) can have a very different relation between the density, pressure, curvature and cosmological constant than in the case of the general relativistic Einstein static universe. ... More

Backreaction effects of dissipation in neutrino decouplingJan 15 1999Oct 07 2000Dissipative effects during neutrino decoupling in the early universe create a small backreaction on the Hubble rate, and lead to a small rise in temperature and entropy. We use a simplified thermo-hydrodynamic model, which provides a causal approximation ... More

Symmetries of particle motionDec 11 1997We define affine transport lifts on the tangent bundle by associating a transport rule for tangent vectors with a vector field on the base manifold. The aim is to develop tools for the study of kinetic/ dynamical symmetries in relativistic particle motion. ... More

Measuring ISW with next-generation radio surveysDec 04 2018Feb 13 2019The late-time integrated Sachs-Wolfe (ISW) signal in the CMB temperature anisotropies is an important probe of dark energy when it can be detected by cross-correlation with large-scale structure surveys. Because of their huge sky area, surveys in the ... More

Inhomogeneity and the foundations of concordance cosmologyMay 12 2010Jun 01 2010The apparent accelerating expansion of the Universe is forcing us to examine the foundational aspects of the standard model of cosmology -- in particular, the fact that dark energy is a direct consequence of the homogeneity assumption. We discuss the ... More

Dark Energy and Dark GravityNov 01 2007Dec 05 2007Observations provide increasingly strong evidence that the universe is accelerating. This revolutionary advance in cosmological observations confronts theoretical cosmology with a tremendous challenge, which it has so far failed to meet. Explanations ... More

Density perturbations in the brane-worldSep 01 2000Nov 24 2000In Randall-Sundrum-type brane-world cosmologies, density perturbations generate Weyl curvature in the bulk, which in turn backreacts on the brane via stress-energy perturbations. On large scales, the perturbation equations contain a closed system on the ... More

Nonlinear bulk viscosity and inflationNov 25 1996We develop a nonlinear generalisation of the causal linear thermodynamics of bulk viscosity, incorporating positivity of the entropy production rate and the effective specific entropy. The theory is applied to viscous fluid inflation (which is necessarily ... More

Kaluza-Klein anisotropy in the CMBAug 29 2001Jan 12 2002We show that 5-dimensional Kaluza-Klein graviton stresses can slow the decay of shear anisotropy on the brane to observable levels, and we use cosmic microwave background anisotropies to place limits on the initial anisotropy induced by these stresses. ... More

Gravito-electromagnetismApr 22 1997Jan 28 1998We develop and apply a fully covariant 1+3 electromagnetic analogy for gravity. The free gravitational field is covariantly characterized by the Weyl gravito-electric and gravito-magnetic spatial tensor fields, whose dynamical equations are the Bianchi ... More

Almost-homogeneity of the universe in higher-order gravityNov 15 1995In the $R+\alpha R^2$ gravity theory, we show that if freely propagating massless particles have an almost isotropic distribution, then the spacetime is almost Friedmann-Robertson-Walker (FRW). This extends the result proved recently in general relativity ... More

Quadrupole anisotropy from photon quantum effectsNov 15 1995We consider quantum effects of an electromagnetic field in a radiation-dominated almost FRW spacetime. The dominant non-local quantum correction to the photon distribution is a quadrupole moment, corresponding to an effective anisotropic pressure in the ... More

Brillouin scattering and the CMBMay 18 2001Jan 13 2005Brillouin scattering of photons off the density fluctuations in a fluid is potentially important for cosmology. We derive the Brillouin spectral distortion of blackbody radiation, and discuss the possible implications for the cosmic microwave background. ... More

On the Baum--Connes conjecture with coefficients for linear algebraic groupsJan 25 2019Apr 05 2019We prove the Baum--Connes conjecture with arbitrary coefficients for some classes of groups: (1) Linear algebraic groups over a non-archimedean local field. (2) Linear algebraic groups over the adeles of a global field k, provided that at every archimedean ... More

On the phase diagram of quenched QCD with Wilson fermionsOct 20 2003In this talk, I reported on recent work on the Aoki phase diagram for quenched QCD with two flavors of Wilson fermions. Part of this work was done in collaboration with Yigal Shamir, and a shorter account of this part appeared recently. In this write-up, ... More

Lattice Chiral Gauge TheoriesNov 03 2000I review the substantial progress which has been made recently with the non-perturbative construction of chiral gauge theories on the lattice. In particular, I discuss three different approaches: a gauge invariant method using fermions which satisfy the ... More

On tadpole improvement for staggered fermionsSep 16 1998An explanation is proposed for the fact that Lepage--Mackenzie tadpole improvement does not work well for staggered fermions. The idea appears to work for all renormalization constants which appear in the staggered fermion self-energy. Wilson fermions ... More

Smart detectors for Monte Carlo radiative transferSep 11 2008Many optimization techniques have been invented to reduce the noise that is inherent in Monte Carlo radiative transfer simulations. As the typical detectors used in Monte Carlo simulations do not take into account all the information contained in the ... More

Conjugacy of Levi subgroups of reductive groups and a generalization to linear algebraic groupsApr 18 2019We investigate Levi subgroups of a connected reductive algebraic group G, over a ground field K. We parametrize their conjugacy classes in terms of sets of simple roots and we prove that two Levi K-subgroups of G are rationally conjugate if and only if ... More

Chiral Perturbation Theory, Non-leptonic Kaon Decays, and the LatticeNov 06 2000In this talk, I first motivate the use of Chiral Perturbation Theory in the context of Lattice QCD. In particular, I explain how partially quenched QCD, which has, in general, unequal valence- and sea-quark masses, can be used to obtain real-world (i.e. ... More

Quark pair simulation near threshold : Reweighting and hadronizationNov 16 2001Methods are presented allowing a realistic, experiment-based simulation of low-mass quark pairs coupling to a virtual photon. Differential cross-section reweighting factors allow to reproduce the resonant structure observed near quark pair production ... More

$H_D$-Quantum Vertex AlgebrasJun 16 2008We discuss a class of quantum vertex algebras where not only the commutativity of the vertex algebra is broken by a braiding map $S^{(\tau)}$, but also the translation covariance is broken by a translation map $S^{(\gamma)}$. The new class of quantum ... More

Topological K-theory of affine Hecke algebrasOct 21 2016Let H(R,q) be an affine Hecke algebra with a positive parameter function q. We are interested in the topological K-theory of H(R,q), that is, the K-theory of its C*-completion C*_r (R,q). We will prove that $K_* (C*_r (R,q))$ does not depend on the parameter ... More

Homology of graded Hecke algebrasDec 09 2008Feb 02 2010Let H be a graded Hecke algebra with complex deformation parameters and Weyl group W. We show that the Hochschild, cyclic and periodic cyclic homologies of H are all independent of the parameters, and compute them explicitly. We use this to prove that, ... More

Periodic cyclic homology of reductive p-adic groupsOct 31 2007Jun 29 2009Let G be a reductive p-adic group, H(G) its Hecke algebra and S(G) its Schwartz algebra. We will show that these algebras have the same periodic cyclic homology. This might be used to provide an alternative proof of the Baum-Connes conjecture for G, modulo ... More

On completions of Hecke algebrasDec 06 2016Nov 21 2017Let G be a reductive p-adic group and let H(G)^s be a Bernstein block of the Hecke algebra of G. We consider two important topological completions of H(G)^s: a direct summand S(G)^s of the Harish-Chandra--Schwartz algebra of G and a two-sided ideal C*_r ... More

Observational constraints on phantom-like braneworld cosmologiesMay 29 2006Oct 07 2006We investigate a simple braneworld model in which the universe contains only cold dark matter and a cosmological constant, but the effective dark energy is phantom-like because of extra-dimensional gravity effects. Modified gravity screens the cosmological ... More

Regular collision of dilatonic inflating branesAug 19 2005Jan 13 2006We demonstrate that a two brane system with a bulk scalar field driving power-law inflation on the branes has an instability in the radion. We solve for the resulting trajectory of the brane, and find that the instability can lead to collision. Brane ... More

Observed galaxy number counts on the lightcone up to second order: I. Main resultMay 17 2014Jun 26 2016We present the galaxy number overdensity up to second order in redshift space on cosmological scales for a concordance model. The result contains all general relativistic effects up to second order that arise from observing on the past light cone, including ... More

Observed galaxy number counts on the lightcone up to second order: II. DerivationJun 02 2014Jun 26 2016We present a detailed derivation of the observed galaxy number over-density on cosmological scales up to second order in perturbation theory. We include all relativistic effects that arise from observing on the past lightcone. The derivation is in a general ... More

Asymmetric radiating brane-worldAug 25 2004Oct 29 2004At high energies on a cosmological brane of Randall-Sundrum type, particle interactions can produce gravitons that are emitted into the bulk and that can feed a bulk black hole. We generalize previous investigations of such radiating brane-worlds by allowing ... More

The seed magnetic field generated during recombinationDec 14 2010Mar 02 2011Nonlinear dynamics creates vortical currents when the tight-coupling approximation between photons and baryons breaks down around the time of recombination. This generates a magnetic field at second order in cosmological perturbations, whose power spectrum ... More

Nonlinear modulation of the HI power spectrum on ultra-large scales. ISep 12 2015Apr 04 2016Intensity mapping of the neutral hydrogen brightness temperature promises to provide a three-dimensional view of the universe on very large scales. Nonlinear effects are typically thought to alter only the small-scale power, but we show how they may bias ... More

Exact isotropic cosmologies with local fractal number countsApr 08 1998Jul 30 1998We construct an exact relativistic cosmology in which an inhomogeneous but isotropic local region has fractal number counts and matches to a homogeneous background at a scale of the order of $10^2$ Mpc. We show that Einstein's equations and the matching ... More

Anisotropy dissipation in brane-world inflationNov 29 2000Feb 06 2001We examine the behavior of an anisotropic brane-world in the presence of inflationary scalar fields. We show that, contrary to naive expectations, a large anisotropy does not adversely affect inflation. On the contrary, a large initial anisotropy introduces ... More

Probing primordial non-Gaussianity with SKA galaxy redshift surveys: a fully relativistic analysisSep 29 2014Apr 23 2015The Square Kilometre Array (SKA) will produce spectroscopic surveys of tens to hundreds of millions of HI galaxies, eventually covering 30,000 sq. deg. and reaching out to redshift z~2. The huge volumes probed by the SKA will allow for some of the best ... More

Clustering of quintessence on horizon scales and its imprint on HI intensity mappingMay 20 2013May 05 2014Quintessence can cluster only on horizon scales. What is the effect on the observed matter distribution? To answer this, we need a relativistic approach that goes beyond the standard Newtonian calculation and deals properly with large scales. Such an ... More

Probing the imprint of interacting dark energy on very large scalesFeb 23 2015Mar 07 2015The observed galaxy power spectrum acquires relativistic corrections from lightcone effects, and these corrections grow on very large scales. Future galaxy surveys in optical, infrared and radio bands will probe increasingly large wavelength modes and ... More

Non-commutative inflation and the CMBAug 11 2003Sep 08 2003Non-commutative inflation is a modification of standard general relativity inflation which takes into account some effects of the space-time uncertainty principle motivated by ideas from string theory. The corrections to the primordial power spectrum ... More

Cosmic microwave background anisotropies: Nonlinear dynamicsAug 16 1998Feb 18 1999We develop a new approach to local nonlinear effects in cosmic microwave background anisotropies, and discuss the qualitative features of these effects. New couplings of the baryonic velocity to radiation multipoles are found, arising from nonlinear Thomson ... More

Probing primordial non-Gaussianity with SKA galaxy redshift surveys: a fully relativistic analysisSep 29 2014Dec 02 2016The Square Kilometre Array (SKA) will produce spectroscopic surveys of tens to hundreds of millions of HI galaxies, eventually covering 30,000 sq. deg. and reaching out to redshift z~2. The huge volumes probed by the SKA will allow for some of the best ... More

Gravitational collapse on the brane: a no-go theoremAug 03 2001Oct 26 2001We investigate how braneworld gravity affects gravitational collapse and black hole formation by studying Oppenheimer-Snyder-like collapse on a Randall-Sundrum type brane. Without making any assumptions about the bulk, we prove a no-go theorem: the exterior ... More

Scalar field perturbations in Horava-Lifshitz cosmologySep 28 2009Apr 23 2010We study perturbations of a scalar field cosmology in Horava-Lifshitz gravity, adopting the most general setup without detailed balance but with the projectability condition. We derive the generalized Klein-Gordon equation, which is sixth-order in spatial ... More

Synergies between intensity maps of hydrogen linesMar 19 2018Jun 26 2018We study synergies between HI 21cm and H$\alpha$ intensity map observations, focusing on SKA1-like and SPHEREx-like surveys. We forecast how well such a combination can measure features in the angular power spectrum on the largest scales, that arise from ... More

Magnetized gravitational wavesJan 10 2001May 19 2001We investigate the influence of cosmic magnetic fields on gravitational wave perturbations, and find exact solutions on large scales. We show that a large-scale magnetic field can generate large-scale non-decaying gravitational waves. In the general case ... More

Gravitational waves from brane-world inflation with induced gravityJul 19 2004We calculate the amplitude of gravitational waves produced by inflation on a de Sitter brane embedded in five-dimensional anti-de Sitter bulk spacetime, extending previous calculations in Randall-Sundrum type cosmology to include the effect of induced ... More