Beyond the Einstein Equation of State: Wald Entropy and Thermodynamical Gravity
arXiv:0903.1176 · doi:10.3390/e18040119
Abstract
We show that the classical equations of gravity follow from a thermodynamic relation, dQ = T dS, where S is taken to be the Wald entropy, applied to a local Rindler horizon at any point in spacetime. Our approach works for all diffeomorphism-invariant theories of gravity. This suggests that classical gravity may be thermodynamic in origin.
9 pages, Latex, 1 figure
References in corpus (6)
- Non-equilibrium Thermodynamics of Spacetime
- Thermodynamic route to Field equations in Lanczos-Lovelock Gravity
- Thermodynamic Behavior of Field Equations for f(R) Gravity
- Entropy of Null Surfaces and Dynamics of Spacetime
- F(R) gravity equation of state
- Horizon entropy and higher curvature equations of state
Cited by in corpus (7)
- Entanglement equilibrium for higher order gravity
- Einstein's Equations from the Stretched Future Light Cone
- Thermodynamic Origin of the Null Energy Condition
- Generalized Entropy Implies Varying-G: Horizon Area Dependent Field Equations and Black Hole-Cosmology Coupling
- Emergent Gravity in a Holographic Universe
- A Local First Law of Gravity
- Non-linear equation of motion for higher curvature semiclassical gravity