Thermodynamic geometry of charged rotating BTZ black holes
Thermodynamic geometry of charged rotating BTZ black holes
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DOI：
10.1103/physrevd.83.084031
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发表时间：
2011-04-19
影响因子：
5
通讯作者：
Taj, S.
中科院分区：
文献类型：
--
作者：
Akbar, M.;Quevedo, H.;Taj, S.
研究了（2 + 1）引力场中带电旋转Banados-Teitelboim-Zanelli黑洞的热力学和热力学几何.我们调查的背景下，这些系统的热力学Weinhold和Ruppeiner热力学几何和最近开发的形式主义geometrothermodynamics。考虑到热容量和霍金温度的行为，我们表明，Weinhold和Ruppeiner几何不能完全描述这些黑洞的热力学和它们的极限情况下消失的电荷。相比之下，几何热力学中的勒让德不变性使人们能够以一致和不变的方式描述带电旋转的Banados-Teitelboim-Zanelli黑洞及其极限情况。
We study the thermodynamics and the thermodynamic geometries of charged rotating Banados-Teitelboim-Zanelli black holes in (2 + 1)-gravity. We investigate the thermodynamics of these systems within the context of the Weinhold and Ruppeiner thermodynamic geometries and the recently developed formalism of geometrothermodynamics. Considering the behavior of the heat capacity and the Hawking temperature, we show that Weinhold and Ruppeiner geometries cannot describe completely the thermodynamics of these black holes and of their limiting case of vanishing electric charge. In contrast, the Legendre invariance imposed on the metric in geometrothermodynamics allows one to describe the charged rotating Banados-Teitelboim-Zanelli black holes and their limiting cases in a consistent and invariant manner.