The generalized second law of thermodynamics in f(R) gravity for various choices of scale factor

Abstract

The present study is aimed at investigating the validity of the generalized second law (GSL) of thermodynamics in $f(\mathcal{R})$ gravity. Choosing $f(\mathcal{R})=\mathcal{R}+\xi {\mathcal{R}}^{\mu }+\zeta {\mathcal{R}}^{-\nu }$ [following Phys Rev D, 68, 123512 (2003)] we have computed the time derivatives of total entropy for various choices of scale factor pertaining to emergent, intermediate and logamediate scenarios of the universe. We have taken into account the radii of hubble, apparent, particle and event horizons while computing the time derivatives of entropy under various situations being considered. After analyzing through the plots of time derivative of total entropy against cosmic time it is observed that the derivative always stays at positive level that indicate the validity of GSL of thermodynamics in the $f(\mathcal{R})$ gravity irrespective of the choices of scale factor and enveloping horizon.

arXiv comment13 pages, 12 figures

References in corpus (31)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Dynamics of dark energy
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• First Law of Thermodynamics and Friedmann Equations of Friedmann-Robertson-Walker Universe
• Unifying inflation with LambdaCDM epoch in modified f(R) gravity consistent with Solar System tests
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Unified First Law and Thermodynamics of Apparent Horizon in FRW Universe
• Horava-Lifshitz Cosmology
• Friedmann Equations of FRW Universe in Scalar-tensor Gravity, f(R) Gravity and First Law of Thermodynamics
• Horava-Lifshitz Cosmology: A Review
• Thermodynamic Behavior of Field Equations for f(R) Gravity
• Dark energy and the generalized second law
• Reconstructing the universe history, from inflation to acceleration, with phantom and canonical scalar fields
• Thermodynamics of interacting holographic dark energy with apparent horizon as an IR cutoff
• Generalized Second Law of Thermodynamics in Quintom Dominated Universe
• Perturbation Spectra from Intermediate Inflation
• Interacting holographic dark energy model and generalized second law of thermodynamics in non-flat universe
• Optical bistability and hysteresis of hybrid metal-semiconductor nano-dimer
• Dynamics of Logamediate Inflation
• Thermodynamics, Spectral Distribution and the Nature of Dark Energy
• Thermodynamics in $F(R)$ gravity with phantom crossing
• The Holographic Model of Dark Energy and Thermodynamics of Non-Flat Accelerated Expanding Universe
• Thermodynamics on the apparent horizon in generalized gravity theories
• Emergent universe in chameleon, f(R) and f(T) gravity theories
• Generalized second law of thermodynamics for FRW cosmology with logarithmic correction
• Generalized second law in modified theory of gravity
• Accelerating Universe in Modified Theories of Gravity
• New Models of f(R) Theories of Gravity
• Clausius relation and Friedmann equation in FRW universe model
• Validity of Generalized Second Law of Thermodynamics in the Logamediate and Intermediate scenarios of the Universe
• Generalized second law of thermodynamics in presence of interacting DBI essence and other dark energies

Cited by in corpus (1)

• Modified Bekenstein-Hawking system in $f(R)$ gravity