arXiv 2203.093942022-03-17gr-qcquant-ph

BTZ黑洞的EUP修正热力学

EUP-corrected thermodynamics of BTZ black hole

B. Hamil, B. C. Lütfüoğlu, L. Dahbi

备注：: 9 pages, 2 Tables, 6x2 Figures
发表信息：: Int. J. Mod. Phys. A 37, 2250130 (2022)
DOI：: 10.1142/S0217751X22501305

摘要：

本文研究了扩展不确定原理（EUP）对（2+1）维反德西特（AdS）和德西特（dS）时空中带电旋转Bañados，Teitelboim和Zanelli（BTZ）黑洞热力学的影响.我们发现，在（A）dS时空中，EUP修正的Hawking温度、熵、体积、吉布斯自由能、压力和热容函数具有不同的特征行为。在详细的分析过程中，我们得到了一个临界视界在AdS时空中的压力有一个非零的最小值。然而，在dS时空中，我们无法达到这样的最小压力值。相反，存在压力变为零的“临界点”。我们表明，在该视界值之后，黑洞变得不稳定，负压导致黑洞的坍缩。

英文摘要：

In this manuscript, we investigate the influence of the extended uncertainty principle (EUP) on the thermodynamics of a charged rotating Bañados, Teitelboim and Zanelli (BTZ) black hole in (2+1)-dimensional anti-de Sitter (AdS) and de Sitter (dS) space-time, respectively. We find that EUP-corrected Hawking temperature, entropy, volume, Gibbs free energy, pressure, and heat capacity functions have different characteristic behaviors in (A)dS space-time. During the detailed analysis, we obtain a critical horizon in the AdS space-time where the pressure has a non-zero minimum value. However, in the dS space-time, we cannot achieve such a minimum pressure value. Instead, there is a "cut point" where the pressure becomes zero. We show that after that horizon value the black hole becomes unstable, with negative pressure which leads to the collapse of the black hole.

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