Cosmological equations and Thermodynamics on Apparent Horizon in Thick Braneworld

Abstract

We derive the generalized Friedmann equation governing the cosmological evolution inside the thick brane model in the presence of two curvature correction terms: a four-dimensional scalar curvature from induced gravity on the brane, and a five-dimensional Gauss-Bonnet curvature term. We find two effective four-dimensional reductions of the Friedmann equation in some limits and demonstrate that they can be rewritten as the first law of thermodynamics on the apparent horizon of thick braneworld.

25 pages, no figure, a definition corrected, several references added, more motivation and discussion

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
• Hawking Radiation of Apparent Horizon in a FRW Universe
• Thermodynamical Properties of Apparent Horizon in Warped DGP Braneworld
• Friedmann Equations and Thermodynamics of Apparent Horizons
• Deep Connection Between Thermodynamics and Gravity in Gauss-Bonnet Braneworld
• Gauss-Bonnet Quintessence: Background Evolution, Large Scale Structure and Cosmological Constraints
• Thermodynamics of Apparent Horizon in Brane World Scenario
• Generalized Vaidya Spacetime in Lovelock Gravity and Thermodynamics on Apparent Horizon
• The generalized second law of thermodynamics in generalized gravity theories
• Thermodynamics of Apparent Horizon in Brane World Scenarios
• Thermodynamics on the apparent horizon in generalized gravity theories
• First law of thermodynamics and Friedmann-like equations in braneworld cosmology
• The Einstein equations for generalized theories of gravity and the thermodynamic relation $\delta Q=T\delta S$ are equivalent
• Modified brane cosmologies with induced gravity, arbitrary matter content and a Gauss-Bonnet term in the bulk
• Crossing the phantom divide in brane cosmology with curvature corrections and brane-bulk energy transfer
• Generalized Friedmann Equations for a Finite Thick Brane

Cited by in corpus (13)

• Hawking Radiation of Apparent Horizon in a FRW Universe
• Corrected Entropy-Area Relation and Modified Friedmann Equations
• Horizon Thermodynamics and Gravitational Field Equations in Horava-Lifshitz Gravity
• Surface Density of Spacetime Degrees of Freedom from Equipartition Law in theories of Gravity
• Thermodynamics of Apparent Horizon in Brane World Scenarios
• Thermodynamics in $f(R)$ gravity in the Palatini formalism
• Corrections to Hawking-like Radiation for a Friedmann-Robertson-Walker Universe
• Lanczos-Lovelock gravity from a thermodynamic perspective
• Gravitational field equations near an arbitrary null surface expressed as a thermodynamic identity
• Misner-Sharp Mass and the Unified First Law in Massive Gravity
• Sound from extra dimension: quasinormal modes of thick brane
• Thermodynamics of $f(R)$ Gravity with Disformal Transformation
• The Unified First law in "Cosmic Triad" Vector Field Scenario