Gauge-invariant gravitational perturbations of maximally symmetric spacetimes

Abstract

Gravitational perturbations of anti-deSitter spacetime play important roles in AdS/CFT correspondence and the brane world scenario. In this paper, we develop a gauge-invariant formalism of gravitational perturbations of maximally symmetric spacetimes including anti-deSitter spacetime. Existence of scalar-type master variables is shown and the corresponding master equations are derived.

Latex, 18 pages; references revised; accepted for publication in Phys. Rev. D

References in corpus (15)

• A new approach to the evolution of cosmological perturbations on large scales
• Gravity in the Randall-Sundrum Brane World
• Brane-World Black Holes
• Dynamics of Anti-de Sitter Domain Walls
• Linearized Gravity in Brane Backgrounds
• Exact Description of Black Holes on Branes
• Brane New World
• Gravity, Stability and Energy Conservation on the Randall-Sundrum Brane-World
• Global structure of exact cosmological solutions in the brane world
• Brane-world creation and black holes
• Cosmological Expansion in the Randall-Sundrum Brane World Scenario
• Exact Description of Black Holes on Branes II: Comparison with BTZ Black Holes and Black Strings
• Brane-world solutions, standard cosmology, and dark radiation
• Birth of the Brane World
• Excitation of Kaluza-Klein gravitational mode

Cited by in corpus (132)

• Modified Gravity and Cosmology
• Inflation Dynamics and Reheating
• Brane-World Gravity
• Brane-world gravity
• Testing General Relativity in Cosmology
• Cosmology and Brane Worlds: A Review
• General brane cosmologies and their global spacetime structure
• Brane World Cosmology
• Dynamics in Non-Globally-Hyperbolic Static Spacetimes III: Anti-de Sitter Spacetime
• Structure formation in the DGP cosmological model
• Trace anomaly driven inflation
• Thick Brane Worlds and Their Stability
• The Parameterized Post-Friedmann Framework for Theories of Modified Gravity: Concepts, Formalism and Examples
• Cosmological Perturbations in Brane-World Theories: Formalism
• Large-scale cosmological perturbations on the brane
• Are there ghosts in the self-accelerating brane universe?
• Brane cosmological perturbations
• Radion and Holographic Brane Gravity
• Evolution of cosmological perturbations in a brane-universe
• Brane World Effective Action at Low Energies and AdS/CFT Correspondence
• On Brane World Cosmological Perturbations
• Towards a fully consistent parameterization of modified gravity
• Cosmological perturbations in the bulk and on the brane
• Axisymmetric metrics in arbitrary dimensions
• Bulk Gravitational Field and Cosmological Perturbations on the Brane
• Non-uniform Braneworld Stars: an Exact Solution
• Looking for an extra dimension with tomographic cosmic shear
• Quantum Fluctuations of Bulk Inflaton in Inflationary Brane World
• Dynamics of Brane-World Cosmological Models
• Brane World Cosmology Without the Z_2 Symmetry
• Cosmological perturbations in the DGP braneworld: numeric solution
• Integro-differential equation for brane-world cosmological perturbations
• Cosmic Microwave Radiation Anisotropies in Brane Worlds
• Near-Horizon Solution for DGP Perturbations
• Origin of black string instability
• Large-Scale Structure in Brane-Induced Gravity I. Perturbation Theory
• Transdimensional physics and inflation
• Scalar perturbations from brane-world inflation
• De Sitter brane-world, localization of gravity, and the cosmological constant
• (1+3) Covariant Dynamics of Scalar Perturbations in Braneworlds
• Braneworld Tensor Anisotropies in the CMB
• Second Order Perturbations in the Randall-Sundrum Infinite Brane-World Model
• Primordial fluctuations in bulk inflaton model
• Cosmological Perturbations in Brane Worlds: Brane Bending and Anisotropic Stresses
• The spectrum of gravitational waves in Randall-Sundrum braneworld cosmology
• Can Inflating Braneworlds be Stabilized?
• Radion and Large Scale Anisotropy on the Brane
• A brane world cosmological solution to the gravitino problem
• Quantum effects, brane tension and large hierarchy in the brane-world
• Density perturbations in a brane-world universe with dark radiation
• Cosmic vorticity on the brane
• Brane Big-Bang Brought by Bulk Bubble
• Late time behavior of cosmological perturbations in a single brane model
• Large Scale Structure Formation of Normal Branch in DGP Brane World Model
• Einstein static universe as a brane in extra dimensions
• Gravity on branes
• Cosmological tensor perturbations in the Randall-Sundrum model: evolution in the near-brane limit
• Phantom braneworld and the Hubble tension
• On linearized gravity in the Randall-Sundrum scenario
• Higher order perturbations of Anti-de Sitter space and time-periodic solutions of vacuum Einstein equations
• Brane gravity, higher derivative terms and non-locality
• Exactly solvable model for cosmological perturbations in dilatonic brane worlds
• Master equations and stability of Einstein-Maxwell-scalar black holes
• A note on the wellposedness of scalar brane world cosmological perturbations
• Quantum-mechanical generation of gravitational waves in braneworld
• Revisiting Hartle's model using perturbed matching theory to second order: amending the change in mass
• Covariant gravitational dynamics in 3+1+1 dimensions
• Doubly covariant action principle of singular hypersurfaces in general relativity and scalar-tensor theories
• Towards a theory of nonlinear gravitational waves: a systematic approach to nonlinear gravitational perturbations in vacuum
• Anti-de Sitter geon families
• Slow-roll corrections to inflaton fluctuations on a brane
• Cosmological perturbations of brane-induced gravity and the vDVZ discontinuity on FLRW space-times
• Isotropic singularity in inhomogeneous brane cosmological models
• Testing braneworlds with the binary pulsar
• Quantization of scalar perturbations in brane-world inflation
• Bulk inflaton shadows of vacuum gravity
• Brane-World Inflation and the Transition to Standard Cosmology
• Gravitational waves in cosmological models of Hořava-Witten theory
• Models for the Brane-Bulk Interaction: Toward Understanding Braneworld Cosmological Perturbation
• Gravitational instability on the brane: the role of boundary conditions
• Coupled bulk and brane fields about a de Sitter brane
• Warped compactification to de Sitter space
• Construction of gauge-invariant variables of linear metric perturbations on an arbitrary background spacetime
• Cosmological perturbations on the Phantom brane
• Inflationary solutions in the brane-world and their geometrical interpretation
• Cosmological perturbations of an expanding brane in an anti-de Sitter bulk: a short review
• Bulk gravitational field and dark radiation on the brane in dilatonic brane world
• Generalized Formalism in Gauge-Invariant Gravitational Perturbations
• Analytic Description of DGP Perturbations on All Scales
• Gravitational Waves from Braneworld Inflation
• Scalar perturbations in braneworld cosmology
• Gravitation and cosmology in a brane-universe
• 1+1+2 Electromagnetic perturbations on general LRS space-times: Regge-Wheeler and Bardeen-Press equations
• Perturbations of Nested Branes With Induced Gravity
• Primordial perturbations from slow-roll inflation on a brane
• 1+1+2 gravitational perturbations on LRS class II space-times: Decoupling GEM tensor harmonic amplitudes
• Holographic Curvature Perturbations in a Cosmology with a Space-Like Singularity
• Numerical study of curvature perturbations in a brane-world inflation at high-energies
• Leading order corrections to the cosmological evolution of tensor perturbations in braneworld
• Gravity in the dynamical approach to the cosmological constant
• Inflaton perturbations in brane-world cosmology with induced gravity
• Brane-world inflation: slow-roll corrections to the spectral index
• Linearized Israel Matching Conditions for Cosmological Perturbations in a Moving Brane Background
• Graviton Emission into Non-Z_2 Symmetric Brane World Spacetimes
• High-Energy theory for close Randall Sundrum branes
• Tachyonic perturbations in AdS${}_5$ orbifolds
• Static solutions in the R^4 brane world
• The problem of ultracompact rotating gravastars
• 3+1+1 dimensional covariant gravitational dynamics on an asymmetrically embedded brane
• Complementary cosmological tests of RSII brane models
• A no-boundary proposal for braneworld perturbations
• Self-tuning of the cosmological constant in brane-worlds with $P(X,\varphi )$
• Braneworld Cosmological Perturbations in Teleparallel Gravity
• The critical tension in the Cascading DGP model
• 1+1+2 Electromagnetic perturbations on non-vacuum LRS class II space-times: Decoupling scalar and 2-vector harmonic amplitudes
• Defining perturbations on submanifolds
• Existence and uniqueness of compact rotating configurations in GR in second order perturbation theory
• Gravitational Waves Emitted by a Uniformly Accelerated Mass: The Role of Zero-Rindler-Energy Modes in the Classical and Quantum Descriptions
• Dissipation and nonlocality in a general expanding braneworld universe
• The Dynamics of Brane-World Cosmological Models
• New results on the physical interpretation of black-brane gravitational perturbations
• First order perturbations of hypersurfaces of arbitrary causal character
• Junction conditions of cosmological perturbations
• Review on the matching conditions for the tidal problem: towards the application to more general contexts
• Excitation of Kaluza-Klein modes of U(1) field by parametric resonance
• Scalar cosmological perturbations in the Gauss-Bonnet braneworld
• Master Functions and Equations for Perturbations of Vacuum Spherically-Symmetric Spacetimes
• Density perturbations in braneworld cosmology and primordial black holes
• Modified gravity, the Cascading DGP model and its critical tension
• Hartle's model within the general theory of perturbative matchings: the change in mass
• Spin-Torsion, Braneworlds and Changing Symmetry in the Universe
• Scalar perturbations in Randall-Sundrum braneworld cosmology