Thermodynamics in Closed Universe with Entropy Corrections

Abstract

We discuss the generalized second law of thermodynamics in three different systems by taking quantum corrections (logarithmic and power law) to cosmological horizon entropy as well as black hole entropy. Firstly, we consider phantom energy accretion onto the Schwarzschild black hole in the closed FRW universe and investigate validity of the generalized second law of thermodynamics on the apparent and event horizons. In another scenario, we evaluate the critical mass of the Schwarzschild black hole with upper and lower bounds under accretion process due to phantom-like modified generalized chaplygin gas. It is found that the generalized second law of thermodynamics is respected within these bounds and black hole cannot accrete outside them. Finally, we explore this law for a closed universe filled with interacting $n$-components of fluid (in thermal equilibrium case) and with non-interacting dark matter and dark energy components (in thermal non-equilibrium case) on the apparent and event horizons and find conditions for its validity.

25 pages, No figure

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Cited by in corpus (8)

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• Cosmological Analysis of Pilgrim Dark Energy in Loop Quantum Cosmology
• Cosmological determination to the values of the prefactors in the logarithmic corrected entropy-area relation
• Emergence of space and cosmic evolution based on entropic force
• Bouncing universe with modified dispersion relation
• A Study of Universal Thermodynamics in Lanczos-Lovelock gravity
• Aspects of Some New Versions of Pilgrim Dark Energy in DGP Braneworld
• A comprehensive analysis of Barrow holographic Chaplygin gas model reconstruction and its cosmological consequences