Generalized second law of thermodynamics in Gauss-Bonnet braneworld

Abstract

We investigate the validity the generalized second law of thermodynamics in a general braneworld model with curvature correction terms on the brane and in the bulk, respectively. Employing the derived entropy expression associated with the apparent horizon, we examine the time evolution of the total entropy, including the derived entropy of the apparent horizon and the entropy of the matter fields inside the apparent horizon. We show that the generalized second law of thermodynamics is fulfilled on the 3-brane embedded in the 5D spacetime with curvature corrections.

11 pages, references added, the version appears in PLB

References in corpus (18)

• Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe
• Non-equilibrium Thermodynamics of Spacetime
• Unified First Law and Thermodynamics of Apparent Horizon in FRW Universe
• Friedmann Equations of FRW Universe in Scalar-tensor Gravity, f(R) Gravity and First Law of Thermodynamics
• Thermodynamic route to Field equations in Lanczos-Lovelock Gravity
• Thermodynamic Behavior of Field Equations for f(R) Gravity
• Thermodynamical Properties of Apparent Horizon in Warped DGP Braneworld
• Deep Connection Between Thermodynamics and Gravity in Gauss-Bonnet Braneworld
• Thermodynamics of Apparent Horizon in Brane World Scenario
• Generalized Second Law of Thermodynamics in Quintom Dominated Universe
• Entropy of Null Surfaces and Dynamics of Spacetime
• The generalized second law of thermodynamics in the accelerating universe
• The Holographic Model of Dark Energy and Thermodynamics of Non-Flat Accelerated Expanding Universe
• The generalized second law in phantom dominated universes in the presence of black holes
• Thermodynamics on the apparent horizon in generalized gravity theories
• Generalized second law in modified theory of gravity
• Schwarzschild black hole and the generalized second law in phantom-dominated universe
• Fermions Tunneling from Apparent Horizon of FRW Universe

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