Cosmological and black hole brane-world Universes in higher derivative gravity

Sachiko Ogushi; Sergei D. Odintsov; Shin'ichi Nojiri

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Cosmological and black hole brane-world Universes in higher derivative gravity

Shin'ichi Nojiri, Sergei D. Odintsov, Sachiko Ogushi

High Energy Physics - Theory · Submitted 23 Aug 2001

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

The authors' main claim In this case the holographic entropy does not coincide with BH entropy (they coincide for Einstein gravity or $c=0$ HD gravity where AdS/CFT description is well applied).

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arXiv IDhep-th/0108172 (version 3)

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CitationSachiko Ogushi, Sergei D. Odintsov, Shin'ichi Nojiri. "Cosmological and black hole brane-world Universes in higher derivative gravity." arXiv:hep-th/0108172 (2001). https://pith.science/paper/LI2TJGGR

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General model of multidimensional $R^2$-gravity including Riemann tensor square term (non-zero $c$ case) is considered. The number of brane-worlds in such model is constructed (mainly in five dimensions) and their properties are discussed. Thermodynamics of S-AdS BH (with boundary) is presented when perturbation on $c$ is used. The entropy, free energy and energy are calculated. For non-zero $c$ the entropy (energy) is not proportional to the area (mass). The equation of motion of brane in BH background is presented as FRW equation. Using dual CFT description it is shown that dual field theory is not conformal one when $c$ is not zero. In this case the holographic entropy does not coincide with BH entropy (they coincide for Einstein gravity or $c=0$ HD gravity where AdS/CFT description is well applied). Asymmetrically warped background (analog of charged AdS BH) where Lorentz invariance violation occurs is found. The cosmological 4d dS brane connecting two dS bulk spaces is formulated in terms of parameters of $R^2$-gravity. Within proposed dS/CFT correspondence the holographic conformal anomaly from five-dimensional higher derivative gravity in de Sitter background is evaluated.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	General model of multidimensional $R^2$-gravity including Riemann tensor square term (non-zero $c$ case) is considered.	contribution 0.47	0.60	0.04	asserted 0.95
s1	The number of brane-worlds in such model is constructed (mainly in five dimensions) and their properties are discussed.	contribution 0.98	0.89	0.07	asserted 0.99
s2	Thermodynamics of S-AdS BH (with boundary) is presented when perturbation on $c$ is used.	contribution 0.91	0.86	0.06	asserted 0.99
s3	The entropy, free energy and energy are calculated.	contribution 0.56	0.91	0.06	asserted 1.00
s4	For non-zero $c$ the entropy (energy) is not proportional to the area (mass).	result 1.00	0.83	0.18	asserted 1.00
s5	The equation of motion of brane in BH background is presented as FRW equation.	contribution 0.76	0.85	0.07	asserted 1.00
s6	Using dual CFT description it is shown that dual field theory is not conformal one when $c$ is not zero.	result 0.95	0.87	0.17	asserted 1.00
s7	In this case the holographic entropy does not coincide with BH entropy (they coincide for Einstein gravity or $c=0$ HD gravity where AdS/CFT description is well applied).	result 0.65	0.67	0.22	asserted 1.00
s8	Asymmetrically warped background (analog of charged AdS BH) where Lorentz invariance violation occurs is found.	result 0.79	0.90	0.06	asserted 1.00
s9	The cosmological 4d dS brane connecting two dS bulk spaces is formulated in terms of parameters of $R^2$-gravity.	contribution 0.59	0.89	0.09	asserted 1.00
s10	Within proposed dS/CFT correspondence the holographic conformal anomaly from five-dimensional higher derivative gravity in de Sitter background is evaluated.	contribution 0.54	0.89	0.12	asserted 1.00

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P abstract

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T body sentences
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Original abstract

General model of multidimensional $R^2$-gravity including Riemann tensor square term (non-zero $c$ case) is considered. The number of brane-worlds in such model is constructed (mainly in five dimensions) and their properties are discussed. Thermodynamics of S-AdS BH (with boundary) is presented when perturbation on $c$ is used. The entropy, free energy and energy are calculated. For non-zero $c$ the entropy (energy) is not proportional to the area (mass). The equation of motion of brane in BH background is presented as FRW equation. Using dual CFT description it is shown that dual field theory is not conformal one when $c$ is not zero. In this case the holographic entropy does not coincide with BH entropy (they coincide for Einstein gravity or $c=0$ HD gravity where AdS/CFT description is well applied). Asymmetrically warped background (analog of charged AdS BH) where Lorentz invariance violation occurs is found. The cosmological 4d dS brane connecting two dS bulk spaces is formulated in terms of parameters of $R^2$-gravity. Within proposed dS/CFT correspondence the holographic conformal anomaly from five-dimensional higher derivative gravity in de Sitter background is evaluated.

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23 arXiv papers cite this in 27 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

The entropy calculated in this way is proved to be [ref] [equation] which is exactly the same as entropy ([ref]) obtained by the entropy function method.

Entropy function and higher derivative corrections to entropies in (anti-)de Sitter space · Wald's approach · 0.85

Cites it as background 14 papers

To be more precise, we consider a $D$-dimensional gravity model whose action is composed of the usual Einstein-Hilbert term added by quadratic terms in the curvature plus a Fierz-Pauli-like mass term, with a momentum dependent operator (for the braneworld approach in higher-derivative gravity, see also [ref] ).

Softly higher-derivative massive gravity · Introduction · 0.80
Another simply modified gravity is $f(R)$ gravity, where the Lagrangian of gravity is an arbitrary function of the scalar curvature. $f(R)$ gravity was first introduced in cosmology in 1970 [ref] , and nowadays it has been applied in a wide range of cosmology studies [ref] (see [ref] for reviews, and [ref] for $f(R)$ braneworld).

Gravitational resonances on $f(R)$-brane · Introduction · 1.00
This term, which is the first term that one can add to the Einstein-Hilbert action, has been discussed in several previous works [ref] .

Entropy function and higher derivative corrections to entropies in (anti-)de Sitter space · Entropy with $R^2$ term in de Sitter space · 0.97

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