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arXiv 2008.11033gr-qc
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修正引力理论中著名黑洞热涨落的结果

Consequences of Thermal Fluctuations of Well-Known Black Holes in Modified Gravity

Abdul Jawad

摘要:

量子涨落结果在高能物理中有着重要的作用。这些波动通常被认为是对红外(IR)极限的修正。这种修正有助于解释物理量的高能极限和黑洞的稳定性条件。在这项工作中,我们分析了热涨落存在下的黑洞的热稳定性。考虑了Born-Infeld大质量引力场中具有非阿贝尔毛的AdS黑洞和具有整体引力的荷电AdS黑洞.给出了两个黑洞的熵、温度、压力、定容定压热容、定压热容与定容热容之比、Gibbs自由能和Helmholtz自由能等物理量。还讨论了黑洞的临界行为和相变。我们还观察了巨正则系综和正则系综中黑洞在不同参数(如对称性破缺参数$η$、质量参数$m$和非交换毛$ν$)下的局部和全局稳定性.

英文摘要:

Quantum fluctuation consequences have significant role in high-energy physics. These fluctuation often regarded as a correction of the infrared (IR) limit. Such correction contribute to the high-energy limit of thermodynamical quantities and the stability conditions of black holes. In this work, we analyze the thermal stability of black holes in the presence of thermal fluctuations. We consider AdS black hole in Born-Infeld massive gravity with non-abelian hair and the charged AdS black hole with a global monopole. We develop many thermodynamical quantities such as entropy, temperature, pressure, heat capacity of a system at constant volume and pressure, ratio between the heat capacities at constant pressure and volume, Gibbs free energy and Helmholtz free energy for both black holes. The critical behavior and phase transitions of black holes are also presented. We also observe the local and global stability of black holes in the grand canonical ensemble and canonical ensemble for the specific values of different parameters, such as, symmetry breaking parameter $η$, massive parameter $m$ and non-abelian hair $ν$.

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