论文标题

适用于新型大型重力的非最小打扮,带电的Lifshitz黑洞的热力学和类似心脏的公式

Thermodynamics and Cardy-like formula for nonminimally dressed, charged Lifshitz black holes in New Massive Gravity

论文作者

Bravo-Gaete, Moises, Juárez-Aubry, María Montserrat

论文摘要

在三个维度中,我们考虑了爱因斯坦 - 马克斯韦尔拉格朗日,穿着新的大型重力中的非微耦合标量场。对于这一理论,我们提供了两个电荷Lifshitz黑洞的家族,它们的度量功能仅取决于整合常数。我们使用准局部方法及其熵和电荷来计算它们的质量。这些带电的构型被解释为极端,从质量消失的意义上,而熵和电荷是非零热力学量。使用这些示例,我们证实了可以通过带电的类似羊皮样式的公式来回收半经典熵,涉及通过双灯芯旋转获得的相应的磁性孤子。最后,还验证了热力学的第一定律以及Smarr公式

In three dimensions, we consider the Einstein-Maxwell Lagrangian dressed by a nonminimally coupled scalar field in New Massive Gravity. For this theory, we provide two families of electrically charged Lifshitz black holes where their metric functions depend only on an integration constant. We calculate their masses using the quasilocal approach, as well as their entropy and electric charge. These charged configurations are interpreted as extremal in the sense that the mass vanishes identically while the entropy and electric charge are non zero thermodynamic quantities. Using these examples, we corroborate that the semiclassical entropy can be recovered through a charged Cardy-like formula, involving the corresponding magnetically charged solitons obtained by a double Wick rotation. Finally, the first law of thermodynamics, as well as the Smarr formula are also verified

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