Generalized second law of thermodynamics for FRW cosmology with logarithmic correction

Abstract

In the previous analyses in the literature about the generalized second law (GSL) in an accelerated expanding universe the usual area relation for the entropy, i.e. $S=\frac{A}{4G}$, was used for the cosmological horizon entropy. But this entropy relation may be modified due to thermal and quantum fluctuations or corrections motivated by loop quantum gravity giving rise to S={A\over 4}+πα\ln({A\over 4})+γ, where $\alpha$ and $\gamma$ are some constants whose the values are still in debate in the literature. Our aim is to study the constraints that GSL puts on these parameters. Besides, we investigate the conditions that the presence of such modified terms in the entropy puts on other physical parameters the system such as the temperature of dark energy via requiring the validity of GSL. In our study we consider a spatially flat Friedman-Robertson-Walker and assume that the universe is composed of several interacting components (including dark energy). The model is investigated in the context of thermal equilibrium and non-equilibrium situations. We show that in a (super) accelerated universe GSL is valid whenever $\alpha (<)>0$ leading to a (negative) positive contribution from logarithmic correction to the entropy. In the case of super acceleration the temperature of the dark energy is obtained to be less or equal to the Hawking temperature.

14 pages, accepted for publication in Europhysics Letters

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Cited by in corpus (4)

• Entropic Corrections to Einstein Equations
• 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
• Interacting entropy-corrected holographic scalar field models in non-flat universe