First law of thermodynamics on holographic screens in entropic force frame

Abstract

By following the spirit of Verlinde's entropic force proposal arXiv:1001.0785, we give the differential and integral form of the first law of thermodynamics on the holographic screen enclosing a spherical symmetric black hole. It is consistent with equipartition principle and the form of Komar mass. The entropy of the holographic screen determines its area, i. e. $S=\frac{A}{4}$. And then we express the metric by thermodynamic variables, to give an illustration of how the space is foliated by the thermodynamical potentials.

5 pages

References in corpus (9)

• Friedmann Equations from Entropic Force
• Entropic Corrections to Friedmann Equations
• Statistical Origin of Gravity
• Notes on Entropy Force in General Spherically Symmetric Spacetimes
• Thermodynamics of Black Holes from Equipartition of Energy and Holography
• Cosmological Constraints on the Modified Entropic Force Model
• Entropic force and entanglement system
• Entropic force, holography and thermodynamics for static space-times
• Influence on the entropic force by the virtual degree of freedom on the holographic screen