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arXiv 2110.05166gr-qchep-th
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(2+1)维旋转Gauss-Bonnet黑洞的整体和局部热力学

Global and local thermodynamics of the (2+1)-dimensional rotating Gauss-Bonnet black hole

H. Dimov, M. Radomirov, I. N. Iliev, R. C. Rashkov, T. Vetsov

摘要:

本文研究了三维旋转Gauss-Bonnet黑洞的局部和整体热力学性质。为此,我们考虑在一个给定的合奏状态量的解决方案的局部和全局热力学稳定性的条件。关于局部分析,我们找到了每个物理比热的稳定区域以及现有的Davies曲线。另一个中心结果是推广了标准热力学中的全局热力学稳定性概念,用来描述黑洞的全局平衡。新的方法包括应用特定的勒让德变换的能量或熵,以找到自然的热力学势的宏观参数给定的合奏。基于新的热力学势的性质,对弱正性猜想进行了全局稳定性分析。这种方法的优点是,它允许人们选择不同的潜力,对应于不同的限制,该系统可能会受到。最后,我们发现只有当给定的黑洞解存在局部热力学稳定性时,才自然地施加全局热力学稳定性。

英文摘要:

The aim of this paper is to study the local and the global thermodynamic properties of the 3-dimensional rotating Gauss-Bonnet black hole. To this end we consider the conditions for local and global thermodynamic stability of the solution in a given ensemble of state quantities. Concerning the local analysis we found the regions of stability for every physical specific heat together with the existing Davies curves. Another central result is the generalization of the notion of global thermodynamic stability, known from the standard thermodynamics, to describe the global equilibrium of black holes. The new approach consists of applying specific Legendre transformation of the energy or the entropy to find the natural thermodynamic potential for the given ensemble of macro parameters. The global stability analysis, restricted to the week positivity conjecture is based on the properties of the new thermodynamic potential. The advantage of this method is that it allows one to chose different potentials, corresponding to different constraints to which the system may be subjected. Finally, we find it natural to impose global thermodynamic stability only where local one exists for the given black hole solution.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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