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arXiv 2403.04888gr-qchep-th
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Rastall引力中有理非线性电动力学AdS黑洞的相结构与临界行为

Phase structures and critical behaviour of rational non-linear electrodynamics AdS black holes in Rastall gravity

Yassine Sekhmani, Dhruba Jyoti Gogoi, Ratbay Myrzakulov, Javlon Rayimbaev

AI总结:

本研究在Rastall引力框架下得到有理非线性电动力学AdS黑洞解,分析其热力学相结构与临界行为,发现范德瓦尔斯行为、重入相变,并验证了Ruppeiner几何曲率与热容相变的对应关系。

摘要:

本研究论文在Rastall引力框架下,给出了一种带有理非线性电动力学源的黑洞解。论文分析了该解在普通相空间中的热力学性质,并探究了其临界行为。研究利用推广的热力学第一定律考察相结构,其中宇宙学常数$\Lambda$充当压强$P$。在小视界$r_+$取值下,等温线表现出范德瓦尔斯行为。论文还研究了吉布斯自由能的行为,发现存在两个临界点及对应的两个压强,在此处重入相变发生并消失。另一方面,我们在Ruppeiner几何中探究了黑洞普遍存在的微观结构,揭示出粒子相互作用的性质与常规情形存在显著偏差。此外,利用Ruppeiner形式体系分析了热力学几何,其中归一化里奇标量指示了热容可能存在的点相变,且归一化外曲率与归一化里奇标量符号相同。热容的三相变与我们在归一化Ruppeiner曲率中发现的相变完全对应,因此二者存在绝对对应关系。

英文摘要:

This research paper presents a black hole solution with a rational non-linear electrodynamics source in the Rastall gravity framework. The paper analyzes the thermodynamic properties of the solution in normal phase space and explores its critical behavior. The phase structure is examined using the extended first law of thermodynamics, with the cosmological constant $Λ$ serving as pressure $P$. The isotherms exhibit van der Waals behavior at small values of horizon $r_+$. The paper also investigates the Gibbs free energy behavior and finds two critical points with two pressures where the reentrant phase transition occurs and disappears. On the other hand, we explore the prevalent microstructure of black holes in Ruppeiner geometry, uncovering significant deviations in the nature of particle interactions from conventional practice. Moreover, the thermodynamic geometry is analyzed using the Ruppeiner formalism, with the normalized Ricci scalar indicating possible point-phase transitions of the heat capacity, and the normalized extrinsic curvature having the same sign as the normalized Ricci scalar. The three-phase transitions of the heat capacity are those that we find for the normalized Ruppeiner curvatures. Thus, there is an absolute correspondence.

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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