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

Rong Gen Cai, Chiang Mei Chen, Keiichi Maeda, Nobuyoshi Ohta, Da Wei Pang

    Research output: Contribution to journalArticle

    15 Citations (Scopus)

    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 languageEnglish
    Article number064030
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Volume77
    Issue number6
    DOIs
    Publication statusPublished - 2008 Mar 28

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    Entropy Function
    Universality
    Black Holes
    Entropy
    entropy
    Area formula
    Higher Order
    Dilaton
    Coefficient
    coefficients
    Term
    horizon
    Horizon
    strings
    Strings
    Directly proportional
    Curvature
    curvature
    formalism
    Generalise

    ASJC Scopus subject areas

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

    Cite this

    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.

    In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 77, No. 6, 064030, 28.03.2008.

    Research output: Contribution to journalArticle

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