Thermodynamics of charged Lifshitz black holes with quadratic corrections
Thermodynamics of charged Lifshitz black holes with quadratic corrections
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DOI：
10.1103/physrevd.91.064038
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发表时间：
2015-01
影响因子：
5
通讯作者：
Moisés Bravo-Gaete;M. Hassaine
中科院分区：
文献类型：
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作者：
Moisés Bravo-Gaete;M. Hassaine
在任意维，我们考虑爱因斯坦-麦克斯韦拉格朗日和更一般的二次曲率修正。对于这个模型，我们得到了四类荷电Lifshitz黑洞解，它们的度规函数依赖于唯一的积分常数。根据离壳ADT势和Noether势之间的关系，用准局域形式计算了这些解的质量。在这四个解中，有三个被解释为极端解，因为它们的质量相同地为零。对于最后一族解，准局域质量和电荷都依赖于积分常数。最后，我们验证了热力学第一定律对每一种溶液都成立，并建立了四种溶液的Smarr公式。
In arbitrary dimension, we consider the Einstein-Maxwell Lagrangian supplemented by the more general quadratic-curvature corrections. For this model, we derive four classes of charged Lifshitz black hole solutions for which the metric function is shown to depend on a unique integration constant. The masses of these solutions are computed using the quasilocal formalism based on the relation established between the off-shell ADT and Noether potentials. Among these four solutions, three of them are interpreted as extremal in the sense that their mass vanishes identically. For the last family of solutions, the quasilocal mass and the electric charge both are shown to depend on the integration constant. Finally, we verify that the first law of thermodynamics holds for each solution and a Smarr formula is also established for the four solutions.