arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2302.03500hep-thgr-qc
收藏

F(R)引力中旋转类Lifshitz黑洞

Rotating Lifshitz-like black holes in F(R) gravity

Kh. Jafarzade, E. Rezaei, S. H. Hendi

摘要:

对于一类特殊的三维纯$F(R)$引力,我们得到了旋转类Lifshitz黑洞解的解析解.我们首先研究了在特殊极限下还原为带电旋转BTZ黑洞的解的一些几何性质。然后,我们研究了这样的黑洞的光学特性,如光子轨道和能量发射率,并讨论了如何电荷,角动量,和指数的影响。为了具有可接受的光学行为,我们应该对指数施加一些约束。我们继续我们的研究,在扩展的相空间中的溶液的热力学行为的研究和检查的有效性的热力学第一定律除了局部热稳定性通过使用热容。通过计算类范德华相变的存在性,得到了临界量,并给出了它们随黑洞参数的变化规律.最后,我们构造了这样一个黑洞的全息热机,并得到了它在一个循环中的效率。通过与卡诺效率的比较,我们研究了热力学第二定律。

英文摘要:

Regarding a particular class of pure $F(R)$ gravity in three dimensions, we obtain an analytical rotating Lifshitz-like black hole solution. We first investigate some geometrical properties of the obtained solution that reduces to a charged rotating BTZ black hole in a special limit. Then, we study the optical features of such a black hole like the photon orbit and the energy emission rate and discuss how electric charge, angular momentum, and exponents affect them. In order to have an acceptable optical behavior, we should apply some constraints on the exponents. We continue our investigation with the study of the thermodynamic behavior of the solutions in the extended phase space and examine the validity of the first law of thermodynamics besides local thermal stability through using of heat capacity. Evaluating the existence of van der Waals-like phase transition, we obtain critical quantities and show how they change under the variation of black hole parameters. Finally, we construct a holographic heat engine of such a black hole and obtain its efficiency in a cycle. By comparing the obtained efficiency with the Carnot one, we examine the second law of thermodynamics.

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。

↑