Thermodynamics on the apparent horizon in generalized gravity theories

Abstract

We present a general procedure to construct the first law of thermodynamics on the apparent horizon and illustrate its validity by examining it in some extended gravity theories. Applying this procedure, we can describe the thermodynamics on the apparent horizon in Randall-Sundrum braneworld imbedded in a nontrivial bulk. We discuss the mass-like function which was used to link Friedmann equation to the first law of thermodynamics and obtain its special case which gives the generalized Misner-Sharp mass in Lovelock gravity.

12 pages, revtex4, more discussion on the entropy expression, accepted for publication in Nucl. Phys. B

References in corpus (26)

• Thermodynamics of Spacetime: The Einstein Equation of State
• Black Hole Entropy is Noether Charge
• Non-conventional cosmology from a brane-universe
• Brane cosmological evolution in a bulk with cosmological constant
• First Law of Thermodynamics and Friedmann Equations of Friedmann-Robertson-Walker Universe
• Gravity and the Thermodynamics of Horizons
• Classical and Quantum Thermodynamics of horizons in spherically symmetric spacetimes
• Non-equilibrium Thermodynamics of Spacetime
• One-loop f(R) gravity in de Sitter universe
• Unified First Law and Thermodynamics of Apparent Horizon in FRW Universe
• Thermodynamic Behavior of Field Equations for f(R) Gravity
• A Note on Thermodynamics of Black Holes in Lovelock Gravity
• Thermodynamical Properties of Apparent Horizon in Warped DGP Braneworld
• Cosmology and the S-matrix
• Inflation and de Sitter Thermodynamics
• Entropy and universality of Cardy-Verlinde formula in dark energy universe
• Friedmann Equations and Thermodynamics of Apparent Horizons
• Deep Connection Between Thermodynamics and Gravity in Gauss-Bonnet Braneworld
• Thermodynamics of Apparent Horizon in Brane World Scenario
• Transplanckian energy production and slow roll inflation
• Final fate of spherically symmetric gravitational collapse of a dust cloud in Einstein-Gauss-Bonnet gravity
• Late acceleration and $w=-1$ crossing in induced gravity
• Black holes in the Brans-Dicke-Maxwell theory
• Super-acceleration on the Brane by Energy Flow from the Bulk
• String inspired explanation for the super-acceleration of our universe
• Crossing the phantom divide in brane cosmology with curvature corrections and brane-bulk energy transfer

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