Gauge-invariant gravitational perturbations of maximally symmetric spacetimes

Shinji Mukohyama

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Gauge-invariant gravitational perturbations of maximally symmetric spacetimes

Shinji Mukohyama

High Energy Physics - Theory · Submitted 10 Apr 2000

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Existence of scalar-type master variables is shown and the corresponding master equations are derived.

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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.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Gravitational perturbations of anti-deSitter spacetime play important roles in AdS/CFT correspondence and the brane world scenario.	background 1.00	0.04	0.03	asserted 1.00
s1	In this paper, we develop a gauge-invariant formalism of gravitational perturbations of maximally symmetric spacetimes including anti-deSitter spacetime.	contribution 0.99	0.96	0.20	asserted 1.00
s2	Existence of scalar-type master variables is shown and the corresponding master equations are derived.	result 0.88	0.94	0.62	asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.59 · evidence from proof or derivation 1.00.

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Original 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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Towards a fully consistent parameterization of modified gravity
astro-ph.CO 2011-07 conditional novelty 6.0 of 10

The widely used two-function description of modified gravity (an effective Newton constant plus a slip parameter) is exact only in the quasistatic small-scale limit; on horizon scales a richer parameterization with ex...
Brane-world gravity
gr-qc 2003-12 accept novelty 2.0 of 10

A comprehensive 2003 survey of Randall-Sundrum brane-world gravity, covering the covariant projection formalism, brane cosmology, the black hole problem, and cosmological perturbation theory, with an explicit list of ...

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16 arXiv papers cite this in 23 sentences

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Papers citing it · 12 sentences without a confident label

Uses its method or tool 5 papers

The equations of motion for the scalar metric perturbations are most conveniently expressed in terms of a master variable, a technique first used in the study of brane-world perturbations in Ref. [ref] .

Brane-world inflation: slow-roll corrections to the spectral index · The bulk-field equation of motion · 1.00
We will now construct similar modes for the tensor case, applying the procedure described in Refs. [ref] in Minkowski and Rindler spacetimes, taking advantage of the symmetry of the $xy$ plane.

Gravitational Waves Emitted by a Uniformly Accelerated Mass: The Role of Zero-Rindler-Energy Modes in the Classical and Quantum Descriptions · Modes for the gravitational perturbation around Minkowski and Rindler backgrounds · 0.94
Outside the sources, using the master-variable framework of [ref] , they map the metric components for gravitational perturbations to two potentials $Φ_E(r,,l,m)$ and $Φ_B(r,,l,m)$, [equation] where =(1-r^2/L^2)L∂_r+i, and $Ψ$'s are written in terms of the electric potential $Φ_E(r,,l,m)$ in the following.

de Sitter Teukolsky waves · Relation to Loganayagam-Shetye waves · 0.94

Cites it as background 6 papers

The KK modes are governed by master partial differential equations (PDEs) defined throughout the AdS bulk [ref] .

Scalar perturbations in Randall-Sundrum braneworld cosmology · Introduction · 0.80
Although we understand how cosmological perturbations grow on the minimal phantom brane [ref] , we are not completely sure about the case with large contributions from dark radiation ($$) and bulk cosmological constant ($$).

Phantom braneworld and the Hubble tension · CMB reduced parameters · 0.90
See [ref] for BHPT formalisms (and [ref] for D-dimensional maximally-symmetric background spacetimes) and [ref] for reviews describing perturbations of BHs and neutron stars.

Gauge-Independent Metric Reconstruction of Perturbations of Vacuum Spherically-Symmetric Spacetimes · Introduction · 0.90

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