Statistical Origin of Gravity

Abstract

Starting from the definition of entropy used in statistical mechanics we show that it is proportional to the gravity action. For a stationary black hole this entropy is expressed as $S=E/2T$, where $T$ is the Hawking temperature and $E$ is shown to be the Komar energy. This relation is also compatible with the generalised Smarr formula for mass.

LaTex, 7 pages, no figure, minor clarifications, references added, to appear in Phys. Rev. D

References in corpus (2)

• The physical interpretation of the spectrum of black hole quasinormal modes
• Exact Differential and Corrected Area Law for Stationary Black Holes in Tunneling Method

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• From black holes to emergent gravity
• First law of thermodynamics on holographic screens in entropic force frame
• Influence on the entropic force by the virtual degree of freedom on the holographic screen
• A Note on the Thermodynamical Origin of Gravity
• The Klein-Gordon equation in Machian model
• Axial Current, Killing Vector and Newtonian Gravity