Thermodynamics of Local Causal Horizons

Abstract

We propose an expression for the entropy density associated with the Local Causal Horizons in any diffeomorphism invariant theory of gravity. If the black-hole entropy of the theory satisfies the physical process version of the first law of thermodynamics then our proposed entropy satisfies the Clausius relation. Thus, our study shows that the thermodynamic nature of the spacetime horizons is not restricted to the black holes; it also applies to the local causal horizons in the neighborhood of any point in the spacetime.

6 pages, 1 figure

References in corpus (6)

• F(R) gravity equation of state
• Horizon entropy and higher curvature equations of state
• Entropy increase during physical processes for black holes in Lanczos-Lovelock gravity
• Physical process first law and increase of horizon entropy for black holes in Einstein-Gauss-Bonnet gravity
• The Physical Process First Law for Bifurcate Killing Horizons
• Locally inertial null normal coordinates

Cited by in corpus (6)

• Mechanical laws of the Rindler horizon
• Higher derivative gravity: field equation as the equation of state
• Generalized Entropy Implies Varying-G: Horizon Area Dependent Field Equations and Black Hole-Cosmology Coupling
• Emergent Cosmos in Einstein-Cartan Theory
• Kinematics and dynamics of null hypersurfaces in the Einstein-Cartan spacetime and related thermodynamic interpretation
• Thermal nature of a generic null surface