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arXiv 2109.06010gr-qc
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非线性电动力学对带电黑洞热力学的影响

Effects of Non-linear Electrodynamics on Thermodynamics of Charged Black Hole

M. Sharif, Amjad Khan

备注：
29 pages, 11 figures, to appear in Chinese J. Phys
发表信息：
Chinese J. Phys. 77(2022)1130-1144
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摘要：

本文研究了在非线性电动力学作用下Reissner-Nordström黑洞的热力学、准简正模、热涨落和相变。我们首先计算了该黑洞的Hawking温度、熵和热容的表达式，然后利用非线性电动力学得到了Davies点与准简正模之间的关系。我们还观察到对数修正对未修正的热力学量如熵、Hawking温度、Helmholtz自由能、内能、Gibbs自由能、焓和热容的影响。发现非线性电动力学参数的存在导致大半径黑洞更不稳定。最后，我们分析了不同电荷值（$q$）、视界半径（$r_{+}$）和耦合参数（$α$）下的Hawking温度和热容的相变。结果表明，随着$q$和$r_{+}$的增大，Hawking温度的位相由正变负，而随着$α$的增大，Hawking温度的位相由正变负.当电荷、视界半径和耦合参数较大时，热容的相位由负变正。

英文摘要：

This paper investigates thermodynamics, quasi-normal modes, thermal fluctuations and phase transitions of Reissner-Nordström black hole with the effects of non-linear electrodynamics. We first compute the expressions for Hawking temperature, entropy and heat capacity of this black hole and then obtain a relation between Davies's point and quasi-normal modes with non-linear electrodynamics. We also observe the effects of logarithmic corrections on uncorrected thermodynamic quantities such as entropy, Hawking temperature, Helmholtz free energy, internal energy, Gibbs free energy, enthalpy and heat capacity. It is found that presence of non-linear electrodynamic parameter induces more instability in black holes of large radii. Finally, we analyze the phase transitions of Hawking temperature as well as heat capacity in terms of entropy for different values of charge ($q$), horizon radius ($r_{+}$) and coupling parameter ($α$). We obtain that Hawking temperature changes its phase from positive to negative for increasing values of $q$ and $r_{+}$ while it shows opposite trend for higher values of $α$. The heat capacity changes its phase from negative to positive for large values of charge, horizon radius and coupling parameter.

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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