论文标题

黑洞溶液和热能性能,$ 4D $ ADS高斯大体重力

Black hole solution and thermal properties in $4D$ AdS Gauss-Bonnet massive gravity

论文作者

Upadhyay, Sudhaker, Singh, Dharm Veer

论文摘要

我们考虑一个$ 4D $ ADS时空的Einstein-Gauss-Bonnet大型重力模型,以获得可能的黑洞解决方案,并讨论该黑洞的地平线结构。消失的度量功能的真正根导致各种类型的视野。此外,我们得出了各种热力学量,从而确保了热力学和SMARR关系的第一法法的有效性。在大量重力参数存在下,热力学量会修饰,还讨论了系统从热容量中的稳定性。黑洞空间时间不仅可以拥有标准的热力学,而且还具有相位结构,当宇宙常数被视为热力学压力时。还讨论了大量参数和GB参数对相变的影响。我们还通过麦克斯韦的同等地区法检查了相结构。仅当压力低于其临界值时,第一阶相变会发生。在临界压力下,一阶相变终止,二阶相变发生。当压力大于其临界值时,不会发生相变。

We consider an Einstein-Gauss-Bonnet massive gravity model in $4D$ AdS spacetime to obtain a possible black hole solution and discuss the horizon structure of this black hole. The real roots of the vanishing metric function lead to various types of horizons. Furthermore, we derive various thermodynamic quantities, thus insuring the validity of the first-law of thermodynamics and the Smarr relation. The thermodynamic quantities are modified in the presence of the massive gravity parameter and also discuss the stability of the system from the heat capacity. Black hole space times can not only possess standard thermodynamics, but also possess phase structures when the cosmological constant is treated as the thermodynamic pressure. The effects of massive parameter and GB parameter on phase transition are also discussed. We also examine the phase structure through Maxwell's equal area law. The first order phase transition occurs only when pressure is lower than its critical value. At critical pressure, the first order phase transition terminates, and the second order phase transition occurs. No phase transition occurs when pressure is greater than its critical value.

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