Thermodynamics of Apparent Horizon in Brane World Scenarios

Abstract

Applying the Clausius relation, $\delta Q=TdS$, to the apparent horizon of FRW universe in brane world scenarios, we show that an explicit entropy expression associated with the apparent horizon can be obtained. On the apparent horizon, the relation, $dE=TdS+WdV$, also holds in the brane world scenarios. We show these results in the RSII model, warped DGP model and the more general case with a Gauss-Bonnet term in the bulk and an intrinsic curvature term on the brane.

Latex, 10 pages, invited talk given at 8th Asia - Pacific International Conference on Gravitation and Astrophysics (ICGA8), to appear in Prog. Theor. Phys. Supplement

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• Influence of Generalized and Extended Uncertainty Principle on Thermodynamics of FRW universe
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• Thermodynamics in $F(R)$ gravity with phantom crossing
• Lessons from Classical Gravity about the Quantum Structure of Spacetime
• Notes on Entropy Force in General Spherically Symmetric Spacetimes
• Cosmological apparent and trapping horizons
• Modified dispersion relations in extra dimensions
• Black holes and black hole thermodynamics without event horizons
• Holography in Action
• Corrected Entropy of Friedmann-Robertson-Walker Universe in Tunneling Method
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• Deformation of Codimension-2 Surface and Horizon Thermodynamics
• Friedmann equations from nonequilibrium thermodynamics of the Universe: A unified formulation for modified gravity
• The Effects of Minimal Length, Maximal Momentum and Minimal Momentum in Entropic Force
• Spatial Curvature and Thermodynamics
• Thermodynamics and Lemaitre-Tolman-Bondi void models
• Thermodynamics in Quasi-Spherical Szekeres Space-Time
• The Unified First law in "Cosmic Triad" Vector Field Scenario
• Hints Beyond $\Lambda$CDM from Barrow and Tsallis Holographic Dark Energy with GO cutoff
• Gravity as a thermodynamic phenomenon
• Orbifold Branes in the $M_D\times M_{d^{+}}\times M_{d^{-}}$ Compactification of type II string on $S^1/Z_2$ and their cosmological applications
• Thermodynamical aspects of modified holographic dark energy model
• Mechanics of Apparent Horizon in Two Dimensional Dilaton Gravity