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Gravitation
About: Gravitation is a research topic. Over the lifetime, 29306 publications have been published within this topic receiving 821510 citations.
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TL;DR: In this article, the authors studied the properties of the holographic CFT dual to Gauss-Bonnet gravity in general $D \ge 5$ dimensions and established the AdS/CFT dictionary and in particular related the couplings of the gravitational theory to the universal couplings arising in correlators of the stress tensor of the dual CFT.
Abstract: We study the properties of the holographic CFT dual to Gauss-Bonnet gravity in general $D \ge 5$ dimensions. We establish the AdS/CFT dictionary and in particular relate the couplings of the gravitational theory to the universal couplings arising in correlators of the stress tensor of the dual CFT. This allows us to examine constraints on the gravitational couplings by demanding consistency of the CFT. In particular, one can demand positive energy fluxes in scattering processes or the causal propagation of fluctuations. We also examine the holographic hydrodynamics, commenting on the shear viscosity as well as the relaxation time. The latter allows us to consider causality constraints arising from the second-order truncated theory of hydrodynamics.
272 citations
TL;DR: In this paper, the effects of scalar density perturbations in the presence of non-relativistic matter minimally coupled to gravity were derived under a quasi-static approximation on sub-horizon scales.
272 citations
TL;DR: In this article, the relationship between classical solutions of non-Abelian gauge theory and gravity was examined, and a general class of gauge theory solutions that double copy to gravity was proposed, namely those involving stationary Kerr-Schild metrics.
Abstract: Recently, a perturbative duality between gauge and gravity theories (the double copy) has been discovered, that is believed to hold to all loop orders. In this paper, we examine the relationship between classical solutions of non-Abelian gauge theory and gravity. We propose a general class of gauge theory solutions that double copy to gravity, namely those involving stationary Kerr-Schild metrics. The Schwarzschild and Kerr black holes (plus their higher-dimensional equivalents) emerge as special cases. We also discuss plane wave solutions. Furthermore, a recently examined double copy between the self-dual sectors of Yang-Mills theory and gravity can be reinterpreted using a momentum-space generalisation of the Kerr-Schild framework.
272 citations
01 Jan 2000
TL;DR: In this article, the authors describe the boundary state description of the N-body problem in Tetrad Gravity: a first step towards a Unified Description of the Four Interactions of the four interactions.
Abstract: General Perspectives.- Special Relativity at Action in the Universe.- String Theory and General Relativity.- Virgo - a Laser Interferometer for Gravitational Wave Detection.- A Space Test of General Relativity.- Canonical "Loop" Quantum Gravity and Spin Foam Models.- A Possible Way to Define an Effective Cosmological Constant in Scalar-Tensor Cosmologies.- A Microscopic Approach to Nuclear Physics: from Deuteron to Neutron Stars.- Perspectives in the Research of GravitationalWaves: Omnidirectional Resonant Detectors.- The Entropy of Black Holes via Noether's Theorem.- Dual Lagrangian Theories.- The Boundary State Description of D-Branes.- The N-body Problem in Tetrad Gravity: A First Step towards a Unified Description of the Four Interactions.- Applications of Calculus of Variations to General Relativity.- The Search for Gravitational Waves with Resonant Detectors.- Cauchy-Perturbative Matching and Outer Boundary Conditions.- Branes in Anti-de Sitter Space-Time.- Black Hole Entropy.- Gravitational Wave Astronomy from Space.- Bar Mode Instability in Relativistic Rotating Stars.- Recent Results.- General Relativity and Theory of Gravitation.- Theoretical Relativity: Classical Topics.- Why is the Gravitational Mass Equal to the Inertial Mass?.- Multiplicity of Timelike Geodesics in Splitting Lorentzian Manifolds.- Gravitational Collapse of Fluid Bodies and Cosmic Censorship: Analytic Insights.- Black Holes and Solitons.- The Prolongation Problem for the Heavenly Equation.- Time Extremizing Trajectories of Massive and Massless Objects in General Relativity.- Null Geodesics Joining Two Submanifolds in Stationary Lorentzian Manifolds.- Analytic Solution of Regge-Wheeler Differential Equation for Black Hole Perturbations in Radial Coordinate and Time Domains.- Quantum Gravity.- Problems in Quantum General Relativity and Gravitation.- Problems in Quantum General Relativity and Gravitation.- Foundational Problems in Quantum Gravity.- Foundational Problems in Quantum Gravity.- Foundational Problems in Quantum Gravity.- Foundational Problems in Quantum Gravity.- A Review of Recent Results of the ? -Function Regularization Procedure in Curved Spacetime.- Solitons in Three Space Dimensions as a Model for Relativistic Particles.- Relativistic Astrophysics and Cosmology.- Relativistic Astrophysics and Cosmology.- Voids in Open Universes.- Non-Stationary Accretion onto Black Holes.- Stochastic Backgrounds of Gravitational Waves from Compact Sources.- Experimental Gravitation.- Sights of Experimental Gravity.- Mechanical Isolation of Gravitational Wave Antennae: Present and Future.- Off-Line Subtraction of Seismic Newtonian Noise.- de Broglie-like Oscillation s of Spacetime.- Testing Newton's Inverse Square Law.
272 citations
TL;DR: In this paper, the instability of the Friedmann world model up to second order in perturbations is considered and a decomposition is made for scalar-, vector-, and tensor-type perturbation which couple with each other to second-order.
Abstract: We consider the instability of the Friedmann world model to second order in perturbations. We present the perturbed set of equations up to second order in the Friedmann background world model with a general spatial curvature and cosmological constant. We consider systems with completely general imperfect fluids, minimally coupled scalar fields, an electromagnetic field, and generalized gravity theories. We also present the case of null geodesic equations, and one based on the relativistic Boltzmann equation. In due time, a decomposition is made for scalar-, vector-, and tensor-type perturbations which couple with each other to second order. A gauge issue is resolved to each order. The basic equations are presented without imposing any gauge condition, and thus in a gauge-ready form so that we can take full advantage of having gauge freedom in analyzing the problems. As an application we show that to second order in perturbation the relativistic pressureless ideal fluid of the scalar type reproduces exactly the known Newtonian result. As another application we rederive the large-scale conserved quantities (of the pure scalar and tensor perturbations) to second order, first shown by Salopek and Bond, now from the exact equations. Several other applications are shown as well.
272 citations