arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2008.01661gr-qc
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广义不确定原理对黑洞热力学相变的影响

The generalized uncertainty principle impact onto the black hole thermodynamic phase transition

Zhong-Wen Feng, Xia Zhou, Shi-Qi Zhou

摘要:

本文在广义不确定原理下研究了有限球腔中黑洞的热力学演化和相变。结果表明,正负广义不确定原理参数$β_0$对黑洞的热力学量、稳定性、临界行为和相变都有显著的影响.对于$β_0>0$,黑洞在演化的最后阶段形成了一个具有有限温度、有限质量和零局部热容的残余物,它可以被视为一个基本粒子。同时,它经历了一个二级相变和两个Hawking-Page型相变。大黑洞和小黑洞都发生了Gross-Perry-Yaffe相变.对于$β_0<0$,Gross-Perry-Yaffe相变只发生在大的黑洞位形中,并且黑洞残余物的温度和热容是有限的,而质量为零.这表明残余物是亚稳态的,并且将永远处于Hawking-Page型相变中。具体地说,根据微粒引力的观点,可以将残余物解释为一个额外的亚稳微小黑洞位形,它在原始情况和正修正情况下从未出现过。

英文摘要:

In this work, we conduct a study regarding the thermodynamic evolution and the phase transition of a black hole in a finite spherical cavity subject to the generalized uncertainty principle. The results demonstrate that both the positive and negative generalized uncertainty principle parameters $β_0$ can significantly affect the thermodynamic quantities, stability, critical behavior, and phase transition of the black hole. For $β_0>0$, the black hole forms a remnant with finite temperature, finite mass, and zero local heat capacity in the last stages of evolution, which can be regarded as an elementary particle. Meanwhile, it undergoes one second-order phase transition and two Hawking-Page-type phase transitions. The Gross-Perry-Yaffe phase transition occurs for both large black hole configuration and small black hole configuration. For $β_0<0$, the Gross-Perry-Yaffe phase transition occurs only for large black hole configuration, and the temperature and heat capacity of black hole remnant is finite, whereas its mass is zero. This indicates the remnant is metastable and would be in the Hawking-Page-type phase transition forever. Specifically, according to the viewpoint of corpuscular gravity, the remnant can be interpreted as an additional metastable tiny black hole configuration, which never appears in the original case and the positive correction case.

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