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arXiv 1602.01832gr-qchep-th
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大质量引力彩虹中的拓扑荷电黑洞及其多种途径的理论分析

Topological charged black holes in massive gravity's rainbow and their thermodynamical analysis through various approaches

S. H. Hendi, B. Eslam Panah, S. Panahiyan

摘要:

高能量子引力中洛伦兹不变性的破坏促使人们考虑标准广义相对论中具有大变形的能量依赖时空。在本文中,我们考虑到一个能量依赖度规的背景下,大量的引力模型,以获得精确的解决方案。我们调查的黑洞解的几何形状,并计算守恒和热力学量,这是完全再现的标准技术进行的分析。在考察了热力学热力学第一定律的正确性后,我们研究了不同参数对溶液热稳定性的影响。此外,我们还利用宇宙学常数与压强的关系来研究相变的可能性。有趣的是,我们将表明,对于本文中考虑的特定配置,观察到不同的拓扑结构的范德华行为。换句话说,对于平坦和双曲视界,类似于球形视界,观察到二级相变和范德华行为。此外,我们还利用几何方法构造相空间,研究这些黑洞的相变和边界点。最后,我们通过一种新的方法在扩展相空间中得到了临界值。

英文摘要:

Violation of Lorentz invariancy in the high energy quantum gravity motivates one to consider an energy dependent spacetime with massive deformation of standard general relativity. In this paper, we take into account an energy dependent metric in the context of a massive gravity model to obtain exact solutions. We investigate the geometry of black hole solutions and also calculate the conserved and thermodynamic quantities, which are fully reproduced by the analysis performed with the standard techniques. After examining the validity of the first law of thermodynamics, we conduct a study regarding the effects of different parameters on thermal stability of the solutions. In addition, we employ the relation between cosmological constant and thermodynamical pressure to study the possibility of phase transition. Interestingly, we will show that for the specific configuration considered in this paper, van der Waals like behavior is observed for different topology. In other words, for flat and hyperbolic horizons, similar to spherical horizon, a second order phase transition and van der Waals like behavior are observed. Furthermore, we use geometrical method to construct phase space and study phase transition and bound points for these black holes. Finally, we obtain critical values in extended phase space through the use of a new method.

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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