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, Kei Ichi

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.

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U2 - 10.1103/PhysRevD.77.064030

DO - 10.1103/PhysRevD.77.064030

M3 - Article

AN - SCOPUS:41549127521

VL - 77

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

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

SN - 1550-7998

IS - 6

M1 - 064030

ER -