### Abstract

We discuss the entropy-area relation for the small black holes with higher curvature corrections by using the entropy function formalism and field redefinition method. We show that the entropy SBH of the small black hole is proportional to its horizon area A. In particular, we find a universal result that SBH=A/2G, the ratio is 2 times of Bekenstein-Hawking entropy-area formula in many cases of physical interest. In four dimensions, the universal relation is always true irrespective of the coefficients of the higher-order terms if the dilaton couplings are the same, which is the case for string effective theory, while in five dimensions, the relation again holds irrespective of the overall coefficient if the higher-order corrections are in the GB combination. We also discuss how this result generalizes to known physically interesting cases with Lovelock correction terms in various dimensions, and possible implications of the universal relation.

Original language | English |
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Article number | 064030 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 77 |

Issue number | 6 |

DOIs | |

Publication status | Published - 2008 Mar 28 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Mathematical Physics

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*77*(6), [064030]. https://doi.org/10.1103/PhysRevD.77.064030

**Entropy function and universality of entropy-area relation for small black holes.** / Cai, Rong Gen; Chen, Chiang Mei; Maeda, Keiichi; Ohta, Nobuyoshi; Pang, Da Wei.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 77, no. 6, 064030. https://doi.org/10.1103/PhysRevD.77.064030

}

TY - JOUR

T1 - Entropy function and universality of entropy-area relation for small black holes

AU - Cai, Rong Gen

AU - Chen, Chiang Mei

AU - Maeda, Keiichi

AU - Ohta, Nobuyoshi

AU - Pang, Da Wei

PY - 2008/3/28

Y1 - 2008/3/28

N2 - We discuss the entropy-area relation for the small black holes with higher curvature corrections by using the entropy function formalism and field redefinition method. We show that the entropy SBH of the small black hole is proportional to its horizon area A. In particular, we find a universal result that SBH=A/2G, the ratio is 2 times of Bekenstein-Hawking entropy-area formula in many cases of physical interest. In four dimensions, the universal relation is always true irrespective of the coefficients of the higher-order terms if the dilaton couplings are the same, which is the case for string effective theory, while in five dimensions, the relation again holds irrespective of the overall coefficient if the higher-order corrections are in the GB combination. We also discuss how this result generalizes to known physically interesting cases with Lovelock correction terms in various dimensions, and possible implications of the universal relation.

AB - We discuss the entropy-area relation for the small black holes with higher curvature corrections by using the entropy function formalism and field redefinition method. We show that the entropy SBH of the small black hole is proportional to its horizon area A. In particular, we find a universal result that SBH=A/2G, the ratio is 2 times of Bekenstein-Hawking entropy-area formula in many cases of physical interest. In four dimensions, the universal relation is always true irrespective of the coefficients of the higher-order terms if the dilaton couplings are the same, which is the case for string effective theory, while in five dimensions, the relation again holds irrespective of the overall coefficient if the higher-order corrections are in the GB combination. We also discuss how this result generalizes to known physically interesting cases with Lovelock correction terms in various dimensions, and possible implications of the universal relation.

UR - http://www.scopus.com/inward/record.url?scp=41549127521&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=41549127521&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.77.064030

DO - 10.1103/PhysRevD.77.064030

M3 - Article

VL - 77

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 6

M1 - 064030

ER -