Cosmological Perturbations in Brane-World Theories: Formalism

A. Lukas; C. van de Bruck; M. Dorca; R.H. Brandenberger

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Cosmological Perturbations in Brane-World Theories: Formalism

C. van de Bruck, M. Dorca, R.H. Brandenberger, A. Lukas

High Energy Physics - Theory · Submitted 3 May 2000

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

The authors' main claim Moreover, we show how the five-dimensional formalism can be matched to the known four-dimensional one in the limit where an effective four-dimensional description is appropriate.

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arXiv IDhep-th/0005032 (version 2)

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CitationA. Lukas, C. van de Bruck, M. Dorca, R.H. Brandenberger. "Cosmological Perturbations in Brane-World Theories: Formalism." arXiv:hep-th/0005032 (2000). https://pith.science/paper/H3PTDPMP

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.18 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.73 · mentions code or data availability 0.02.

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We develop a gauge-invariant formalism to describe metric perturbations in five-dimensional brane-world theories. In particular, this formalism applies to models originating from heterotic M-theory. We introduce a generalized longitudinal gauge for scalar perturbations. As an application, we discuss some aspects of the evolution of fluctuations on the brane. Moreover, we show how the five-dimensional formalism can be matched to the known four-dimensional one in the limit where an effective four-dimensional description is appropriate.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We develop a gauge-invariant formalism to describe metric perturbations in five-dimensional brane-world theories.	contribution 0.97	0.96	0.20	asserted 1.00
s1	In particular, this formalism applies to models originating from heterotic M-theory.	contribution 0.51	0.19	0.06	asserted 0.98
s2	We introduce a generalized longitudinal gauge for scalar perturbations.	method 0.55	0.96	0.08	asserted 1.00
s3	As an application, we discuss some aspects of the evolution of fluctuations on the brane.	contribution 0.96	0.88	0.09	asserted 0.89
s4	Moreover, we show how the five-dimensional formalism can be matched to the known four-dimensional one in the limit where an effective four-dimensional description is appropriate.	contribution 0.57	0.93	0.21	asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.98 · evidence from proof or derivation 1.00.

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Original abstract

We develop a gauge-invariant formalism to describe metric perturbations in five-dimensional brane-world theories. In particular, this formalism applies to models originating from heterotic M-theory. We introduce a generalized longitudinal gauge for scalar perturbations. As an application, we discuss some aspects of the evolution of fluctuations on the brane. Moreover, we show how the five-dimensional formalism can be matched to the known four-dimensional one in the limit where an effective four-dimensional description is appropriate.

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Cited by 4 Pith papers

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

Radion stabilization with(out) Gauss-Bonnet interactions and inflation
hep-th 2006-03 conditional novelty 7.0 of 10

For static Goldberger-Wise braneworlds with a Gauss-Bonnet term, radion stability is equivalent to b_i>0, ξ′/a′>0, and φ′≠0; positive Gauss-Bonnet coupling typically raises the radion mass and lowers the maximal brane...
Conformal and pure scale-invariant gravities in d dimensions
hep-th 2025-06 conditional novelty 6.0 of 10

For d>4, pure R^{d/2} gravity has no modes on flat space, and five-dimensional conformal gravity propagates three scalar, three vector, and two tensor modes, one of which is a ghost.
Simple fixed-brane gauges in $S_1/Z_2$ braneworlds
hep-th 2006-04 conditional novelty 6.0 of 10

For Randall-Sundrum two-brane cosmologies with a Schwarzschild-AdS bulk, simple fixed-brane gauges exist and can be built order by order in either time after collision or brane velocity.
Analysis of inflationary models in higher-dimensional uniform inflation
hep-ph 2025-01 conditional novelty 5.0 of 10

In (D+4)-dimensional uniform inflation the spectral index and tensor-to-scalar ratio are ns=1-(D+6)ε+2η and r=8(D+2)ε, which excludes D≥2 for the five models studied while allowing D=1 in the b0k >> 1 branch.

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9 arXiv papers cite this in 13 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 5 sentences without a confident label

Uses its method or tool 3 papers

Inspired by the similarities between perturbations in cosmological and warped backgrounds, in this section we will develop a similar formalism for warped perturbation theory, following [ref] .

A Breathing Mode for Warped Compactifications · Warped Perturbation Theory · 0.94
In particular, we can apply the scalar-vector-tensor decomposition [ref] for the metric perturbations $δg_μν$ around the anisotropic background $g_μν= g_μν^(0)+δg_μν$: [equation] with $i$ accounting for the $x,y,$ and $z$ coordinates.

How to deal with conformal and pure scale-invariant theories of gravity in d dimensions? · The ghosts in five dimensions · 1.00
Let us now consider the perturbations around the previous background, similarly to the formalism developed in [ref] : [equation] where [equation] Here, $i$ runs over $x,y,$ and $z$ coordinates.

Conformal and pure scale-invariant gravities in d dimensions · Perturbations · 0.98

Cites it as background 5 papers

Cosmological perturbation theory in braneworld cosmology also has some distinct features [ref] .

Density perturbations in braneworld cosmology and primordial black holes · Introduction · 0.95
The study of dynamics and fluctuations on warped compactifications is much more complicated than the standard Kaluza-Klein (KK) reduction on direct product spaces, and has been studied extensively by a number of authors [ref] .

A Breathing Mode for Warped Compactifications · Introduction · 0.99
As mentioned in [ref] , the general formalism for the cosmological perturbations in brane world theories has been studied [ref] .

Analysis of inflationary models in higher-dimensional uniform inflation · Cosmological perturbation in $D+4$ dimensions · 0.84

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