高斯-波内特引力对 ( $$\boldsymbol{3+1}$$)-D AdS 黑洞热力学的影响

IF 1.2 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS
Neeraj Kumar, Sunandan Gangopadhyay
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引用次数: 0

摘要

摘要 我们研究了(\(3+1\))维AdS时空中带有高斯-波奈修正项的黑洞(BHs)的热力学。众所周知,该修正项对运动方程没有影响,但它改变了用沃尔德公式计算的熵。对面积定律的修正以涉及高斯-波奈参数的项的形式出现。我们研究了这一机制下的带电 BH,即 Reissner-Nordström 和 Born-Infeld。我们首先遇到的是热容量的发散。在排除了一阶相变的可能性后,我们采用了标准热力学中两种广受信赖的方法,即 Ehrenfest 方案和 Ruppeiner 状态空间几何分析,以确保相变点的二阶性质。本研究的重点是高斯-波内特参数和玻恩-因菲尔德参数对相变点的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Effects of Gauss–Bonnet Gravity on Thermodynamics of (\(\boldsymbol{3+1}\))-D AdS Black Holes

Effects of Gauss–Bonnet Gravity on Thermodynamics of (\(\boldsymbol{3+1}\))-D AdS Black Holes

Effects of Gauss–Bonnet Gravity on Thermodynamics of (\(\boldsymbol{3+1}\))-D AdS Black Holes

We study the thermodynamics of black holes (BHs) with a Gauss–Bonnet correction term in (\(3+1\))-dimensional AdS space-time. It is known that this term has no effect on the equations of motion, however, it modifies the entropy which is calculated using Wald’s formula. The corrections to the area law appear in the form of a term involving the Gauss–Bonnet parameter. We study charged BHs, namely, Reissner-Nordström and Born–Infeld, under this regime. The first thing we encounter are divergences in heat capacity. After eliminating the possibility of first-order phase transition, we apply two well trusted methods from standard thermodynamics, namely, the Ehrenfest scheme and the Ruppeiner state space geometry analysis to ensure the second-order nature of the phase transition points. Our main focus in this study is on the effects of the Gauss–Bonnet and Born–Infeld parameters on the phase transition points.

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来源期刊
Gravitation and Cosmology
Gravitation and Cosmology ASTRONOMY & ASTROPHYSICS-
CiteScore
1.70
自引率
22.20%
发文量
31
审稿时长
>12 weeks
期刊介绍: Gravitation and Cosmology is a peer-reviewed periodical, dealing with the full range of topics of gravitational physics and relativistic cosmology and published under the auspices of the Russian Gravitation Society and Peoples’ Friendship University of Russia. The journal publishes research papers, review articles and brief communications on the following fields: theoretical (classical and quantum) gravitation; relativistic astrophysics and cosmology, exact solutions and modern mathematical methods in gravitation and cosmology, including Lie groups, geometry and topology; unification theories including gravitation; fundamental physical constants and their possible variations; fundamental gravity experiments on Earth and in space; related topics. It also publishes selected old papers which have not lost their topicality but were previously published only in Russian and were not available to the worldwide research community
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