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arXiv 1502.00069hep-thgr-qc
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Misner-Sharp质量与大质量引力统一第一定律

Misner-Sharp Mass and the Unified First Law in Massive Gravity

Ya-Peng Hu, Hongsheng Zhang

备注：
11 pages, no figure, version published in PRD
发表信息：
Phys.Rev. D92 (2015) 024006
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摘要：

利用逆统一第一定律方法，得到了具有二维极大对称子空间的四维时空在大质量引力场中的Misner-Sharp质量。值得注意的是，在这种情况下，应力能是守恒的，具有广泛使用的参考度量。基于这一性质，我们证实了导出的Misner-Sharp质量守恒电荷方法。我们发现，在这种情况下，Misner-sharp质量的存在并没有导致额外的约束的质量引力，这是显着的修改引力。此外，作为特例，我们还研究了静态时空中的Misner-Sharp质量。特别地，我们考虑了FRW宇宙来研究大质量引力的热力学。结果表明，大质量引力场可以处于热力学平衡状态，填补了以往大质量引力场热力学研究的空白。

英文摘要：

We obtain the Misner-Sharp mass in the massive gravity for a four dimensional spacetime with a two dimensional maximally symmetric subspace via the inverse unified first law method. Significantly, the stress energy is conserved in this case with a widely used reference metric. Based on this property we confirm the derived Misner-Sharp mass by the conserved charge method. We find that the existence of the Misner-sharp mass in this case does not lead to extra constraint for the massive gravity, which is notable in modified gravities. In addition, as a special case, we also investigate the Misner-Sharp mass in the static spacetime. Especially, we take the FRW universe into account for investigating the thermodynamics of the massive gravity. The result shows that the massive gravity can be in thermodynamic equilibrium, which fills in the gap in the previous studies of thermodynamics in the massive gravity.

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