Entropy as logarithmic term of the central charge and modified Friedmann equation in AdS/CFT correspondence

IF 10.2 4区物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS

Journal of High Energy Astrophysics Pub Date : 2023-06-01 DOI:10.1016/j.jheap.2023.04.002

M. Bousder , E. Salmani , H. Ez-Zahraouy

引用次数: 1

Abstract

This paper is about the extended thermodynamics of AdS black holes and its relation to CFT thermodynamics. The logarithmic term of the central charge is interpreted as black hole entropy. We have to obtain a modified Friedmann equation from the Smarr formula. We find that the AdS radius is the critical shadow radius. We obtain the Hawking-Bekenstein formula with logarithmic corrections, which depends on the central charge. The real gas in AdS is a dual of an ideal gas in CFT. This work can be extended to the AdS-Kerr black holes.

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熵作为中心电荷的对数项和AdS/CFT对应中的修正Friedmann方程

本文讨论了AdS黑洞的扩展热力学及其与CFT热力学的关系。中心电荷的对数项被解释为黑洞熵。我们必须从斯马尔公式中得到一个修正的弗里德曼方程。我们发现AdS半径是临界阴影半径。我们得到了具有对数校正的Hawking Bekenstein公式，该公式取决于中心电荷。AdS中的真实气体是CFT中理想气体的对偶。这项工作可以推广到AdS-Kerr黑洞。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of High Energy Astrophysics Earth and Planetary Sciences-Space and Planetary Science

CiteScore

9.70

自引率

5.30%

发文量

审稿时长

65 days

期刊介绍： The journal welcomes manuscripts on theoretical models, simulations, and observations of highly energetic astrophysical objects both in our Galaxy and beyond. Among those, black holes at all scales, neutron stars, pulsars and their nebula, binaries, novae and supernovae, their remnants, active galaxies, and clusters are just a few examples. The journal will consider research across the whole electromagnetic spectrum, as well as research using various messengers, such as gravitational waves or neutrinos. Effects of high-energy phenomena on cosmology and star-formation, results from dedicated surveys expanding the knowledge of extreme environments, and astrophysical implications of dark matter are also welcomed topics.