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arXiv · 1304.3647

Schwarzschild solution as a result of thermodynamics

Hongsheng Zhang·Sean A. Hayward·Xiang-Hua Zhai·Xin-Zhou Li
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Abstract

We obtain the Schwarzschild solution from thermodynamic considerations using the assumptions of a quasi local mass form (the Misner-Sharp mass) and geometric surface gravity in a spherically symmetric spacetime. The deduction is extended to other cases such as the de Sitter, anti-de Sitter, Reissner-Nordstr\"om and higher dimensional spacetimes. This paper demonstrates the simple hypotheses to obtain these known spherically symmetric solutions via thermodynamics, where essentially the Misner-Sharp mass is the mass for an adiabatic system.

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Hongsheng Zhang, Sean A. Hayward, Xiang-Hua Zhai, Xin-Zhou Li. 2013-04-09. Schwarzschild solution as a result of thermodynamics. https://doi.org/10.1103/physrevd.89.064052

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