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.

Bouncing universe with modified dispersion relation

“…A deep understanding on how to link the diminishing behavior of the entropy in the contracting phase and the second law of the thermodynamics is still lacking. There might be an approach to solve this problem via considering the generalized second law of thermodynamics which has been discussed in many universe models [64][65][66][67]. Under complying with the second law of the thermodynamics, it should be interesting to seek for some new modified dispersion relations and new physical mechanism to overcome or solve the singularity problem of the Universe.…”

A study of Universal thermodynamics in Lanczos–Lovelock gravity

“…However, in the perspective of local equilibrium hypothesis, there is no spontaneous flow of energy between the horizon and the fluid, so it is reasonable to assume b = 1. Further due to mathematical complexity of non-equilibrium thermodynamical prescription, the assumption of equilibrium (though restrictive) is widely used in the literature [41,42,43,44,45,46,47,50,51,52,53,54,55,56]. Moreover, it should be mentioned that this restrictive situation is suitable at the late stages of the Universe when the cosmic fluid and the horizon will interact for a long time [57,58].…”

Pilgrim dark energy in f(T,T G ) cosmology

“…In the present set up of cosmological scenario, this can be only prevented through phantom-like DE which contains enough repulsive force. Different attempts have been made in this way, e.g., reduction of BH mass though phantom accretion phenomenon (Babichev et al (2004); Martin-Moruno 2008;Jamil et al 2008;Babichev et al 2008;Jamil 2009;Jamil and Qadir 2011;Sharif and Abbas 2011;Bhadra and Debnath 2012;Sharif and Jawad 2013) and the avoidance of event horizon in the presence of phantom-like DE (Lobo 2005a(Lobo , 2005bSushkov 2005, Sharif andJawad 2014).…”