Schwarzschild solution as a result of thermodynamics
General Relativity and Quantum Cosmology
2014-12-22 v2 Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1304.3647,
title = {Schwarzschild solution as a result of thermodynamics},
author = {Hongsheng Zhang and Sean A. Hayward and Xiang-Hua Zhai and Xin-Zhou Li},
journal= {arXiv preprint arXiv:1304.3647},
year = {2014}
}
Comments
two new authors joined, 5pages, no figure, PRD in press