English

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