Conserved currents in $D$-dimensional gravity and brane cosmology

A.N.Petrov

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Conserved currents in $D$-dimensional gravity and brane cosmology

A.N.Petrov

General Relativity and Quantum Cosmology · Submitted 20 Jan 2004

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

The authors' main claim The conserved currents are thus particulary well adapted to the case of perturbations in Gauss-Bonett cosmological brane theories.

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In $D$-dimentional gravity on arbitrary curved backgrounds using proven methods conserved currents, divergences of antisymmetrical tensor densities (superpotentials), are constructed. These superpotentials have two remarkable properties: they depend in an essential way on second derivatives in the Lagrangian and are independent on divergences added to it. The conserved currents are thus particulary well adapted to the case of perturbations in Gauss-Bonett cosmological brane theories.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	In $D$-dimentional gravity on arbitrary curved backgrounds using proven methods conserved currents, divergences of antisymmetrical tensor densities (superpotentials), are constructed.	contribution 0.93	0.78	0.16	asserted 1.00
s1	These superpotentials have two remarkable properties: they depend in an essential way on second derivatives in the Lagrangian and are independent on divergences added to it.	result 0.91	0.74	0.24	asserted 1.00
s2	The conserved currents are thus particulary well adapted to the case of perturbations in Gauss-Bonett cosmological brane theories.	interpretation 0.95	0.56	0.31	asserted 0.96

What kind of paper the classifier reports this is: theoretical result 0.73 · evidence from proof or derivation 1.00.

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Original abstract

In $D$-dimentional gravity on arbitrary curved backgrounds using proven methods conserved currents, divergences of antisymmetrical tensor densities (superpotentials), are constructed. These superpotentials have two remarkable properties: they depend in an essential way on second derivatives in the Lagrangian and are independent on divergences added to it. The conserved currents are thus particulary well adapted to the case of perturbations in Gauss-Bonett cosmological brane theories.

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2 arXiv papers cite this in 3 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

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Compares with it 1 paper

where [Remark that the position of indexes in definitions of $$ [ref] and $$ [ref] differs from that of Refs. [ref] .

Covariant Differential Identities and Conservation Laws in Metric-Torsion Theories of Gravitation. I. General Consideration · The general Noether identity. Generalized Noether's current and charge · 0.82

Cites it as background 1 paper

In arbitrary generally covariant theories with the Lagrangians $$, containing derivatives of the metric up to a second order, see Refs. [ref] , the quantity $n {n^μν}$ is defined as $n^μν / g_μν,$.

Covariant Differential Identities and Conservation Laws in Metric-Torsion Theories of Gravitation. II. Manifestly Generally Covariant Theories · The 4-th and 3-rd Klein identities · 0.82

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