First law of thermodynamics on holographic screens in entropic force frame
arXiv:1006.1442 · doi:10.1016/j.physletb.2011.05.033
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. . And then we express the metric by thermodynamic variables, to give an illustration of how the space is foliated by the thermodynamical potentials.
arXiv comment5 pages
References in corpus (21)
- Thermodynamics of Spacetime: The Einstein Equation of State
- First Law of Thermodynamics and Friedmann Equations of Friedmann-Robertson-Walker Universe
- Classical and Quantum Thermodynamics of horizons in spherically symmetric spacetimes
- Equipartition of energy in the horizon degrees of freedom and the emergence of gravity
- Friedmann Equations from Entropic Force
- Horizon Thermodynamics and Gravitational Field Equations in Horava-Lifshitz Gravity
- Entropic Corrections to Friedmann Equations
- Surface Density of Spacetime Degrees of Freedom from Equipartition Law in theories of Gravity
- Quantum UV/IR Relations and Holographic Dark Energy from Entropic Force
- Statistical Origin of Gravity
- Modified Entropic Force
- 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
- A Note on Temperature and Energy of 4-dimensional Black Holes from Entropic Force
- Entropic force, holography and thermodynamics for static space-times
- Hidden symmetries for thermodynamics and emergence of relativity
- The surface density of holographic entropy
- Influence on the entropic force by the virtual degree of freedom on the holographic screen
- Gauss-Codazzi thermodynamics on the timelike screen
Cited by in corpus (10)
- Holographic screens in ultraviolet self-complete quantum gravity
- Surfaces away from horizons are not thermodynamic
- Condensation of an ideal gas with intermediate statistics on the horizon
- Modified Hawking temperature and entropic force: a prescription in FRW model
- A topological charge of black holes
- Quantized Black Hole and Heun function
- Thermodynamical Interpretation of the Second Law for Cosmology
- Quasilocal Smarr relations for static black holes
- A New Phase Transition Related to the Black Hole's Topological Charge
- Thoughts on entropic gravity in the Parikh-Wilczek tunneling model of Hawking radiation