The generalized second law of gravitational thermodynamics on the apparent horizon in f(R)-gravity

Abstract

We investigate the generalized second law (GSL) of thermodynamics in the framework of $f(R)$-gravity. We consider a FRW universe filled only with ordinary matter enclosed by the dynamical apparent horizon with the Hawking temperature. For a viable modified gravity model as $f(R)=R-\alpha /R+\beta R^2$, we examine the validity of the GSL during the early inflation and late acceleration eras. Our results show that for the selected $f(R)$-gravity model minimally coupled with matter, the GSL in the early inflation epoch is satisfied only for the special range of the equation of state parameter of the matter. But in the late acceleration regime, the GSL is always respected.

10 pages, accepted by Europhys. Lett. 2012

References in corpus (31)

• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Dark torsion as the cosmic speed-up
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe
• Friedmann Equations of FRW Universe in Scalar-tensor Gravity, f(R) Gravity and First Law of Thermodynamics
• Dark Energy and Gravity
• Relativistic cosmology and large-scale structure
• Dark Energy: the equation of state description versus scalar-tensor or modified gravity
• Friedmann Equations and Thermodynamics of Apparent Horizons
• Fourth order gravity: equations, history, and applications to cosmology
• Thermodynamics of cosmological horizons in $f(T)$ gravity
• Generalized second law of thermodynamics in f(T) gravity
• Thermodynamics of apparent horizon and modified Friedman equations
• Violation of the first law of black hole thermodynamics in $f(T)$ gravity
• Entropic Corrections to Friedmann Equations
• The generalized second law of thermodynamics in the accelerating universe
• The generalized second law of thermodynamics in Horava-Lifshitz cosmology
• An $f(R)$ gravitation for galactic environments
• The generalized second law in phantom dominated universes in the presence of black holes
• Generalized second law in modified theory of gravity
• Schwarzschild black hole and the generalized second law in phantom-dominated universe
• Reconstructing f(R) modified gravity from ordinary and entropy-corrected versions of the holographic and new agegraphic dark energy models
• The generalized second law of gravitational thermodynamics on the apparent and event horizons in FRW cosmology
• Thermodynamical properties of dark energy
• Generalized second law of thermodynamics in modified FRW cosmology with corrected entropy-area relation
• The generalized second law for the interacting generalized Chaplygin gas model
• Indistinguishable Macroscopic Behaviour of Palatini Gravities and General Relativity
• Agegraphic reconstruction of modified $F(R)$ and $F(\mathcal{G})$ gravities
• Comments on Scalar-Tensor Representation of $f(R)$ Theories

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• A Study of Universal Thermodynamics in Massive Gravity: Modified Entropy on the Horizons
• Thermodynamics of scalar field models with kinetic corrections
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