scholarly journals Generalized second law of thermodynamics for a phantom energy accreting BTZ black hole

2010 ◽  
Vol 43 (4) ◽  
pp. 1061-1068 ◽  
Author(s):  
Mubasher Jamil ◽  
M. Akbar
Keyword(s):  
Black Hole ◽  
Second Law Of Thermodynamics ◽  
Phantom Energy ◽  
Second Law ◽  
Btz Black Hole ◽  
Generalized Second Law

scholarly journals THERMODYNAMICS OF A SCHWARZSCHILD BLACK HOLE IN PHANTOM COSMOLOGY WITH ENTROPY CORRECTIONS

2012 ◽  
Vol 21 (07) ◽  
pp. 1250065 ◽  
Author(s):  
MUBASHER JAMIL ◽  
D. MOMENI ◽  
KAZUHARU BAMBA ◽  
RATBAY MYRZAKULOV
Keyword(s):  
Black Hole ◽  
Power Law ◽  
Phantom Energy ◽  
Upper Bounds ◽  
Quantum Corrections ◽  
Second Law ◽  
Schwarzschild Black Hole ◽  
Frw Universe ◽  
Generalized Second Law ◽  
Entropy Corrections

Motivated by some earlier works [G. Izquierdo and D. Pavon, Phys. Lett. B 639 (2006) 1; H. M. Sadjadi, Phys. Lett. B 645 (2007) 108.] dealing with the study of generalized second law (GSL) of thermodynamics for a system comprising of a Schwarzschild black hole accreting a test nonself-gravitating fluid namely phantom energy in FRW universe, we extend them when the entropy of horizons of black hole and the cosmological undergo quantum corrections. Two types of such corrections are relevant here including logarithmic and power-law, while both are motivated from different theoretical backgrounds. We obtain general mathematical conditions for the validity of GSL in each case. Further we find that GSL restricts the mass of black hole for accretion of phantom energy. As such we obtain upper bounds on the mass of black hole above which the black hole cannot accrete the phantom fluid, otherwise the GSL is violated.

scholarly journals ENTROPY OF COSMOLOGICAL BLACK HOLES AND THE GENERALIZED SECOND LAW IN THE PHANTOM-ENERGY-DOMINATED UNIVERSE

2011 ◽  
Vol 20 (02) ◽  
pp. 233-252 ◽  
Author(s):  
KHIREDDINE NOUICER
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Equation Of State ◽  
State Parameter ◽  
Phantom Energy ◽  
Energy Conditions ◽  
Second Law ◽  
Brick Wall ◽  
Generalized Second Law ◽  
Equation Of State Parameter

Adopting the thin layer improved brick wall method, we investigate the thermodynamics of a black hole embedded in a spatially flat Friedmann–Robertson–Walker universe. We calculate the temperature and the entropy at every apparent horizon for arbitrary solution of the scale factor. We show that the temperature and entropy display a nontrivial behavior as functions of time. In the case of black holes immersed in a universe driven by phantom energy, we show that for specific ranges of the equation-of-state parameter and apparent horizons the entropy is compatible with the D-bound conjecture, and even the null, dominant and strong energy conditions are violated. In the case of accretion of phantom energy onto a black hole with small Hawking–Hayward quasi-local mass, we obtain an equation-of-state parameter in the range w ≤ -5/3, guaranteeing the validity of the generalized second law.

scholarly journals Generalized second law and universal relations of cosmological black hole

2019 ◽  
Vol 9 (2) ◽  
pp. 281-288
Author(s):  
Ashfaque H. Bokhari ◽  
M. Akbar ◽  
Tayeb Brahimi
Keyword(s):  
Black Hole ◽  
Event Horizon ◽  
Apparent Horizon ◽  
Second Law Of Thermodynamics ◽  
Second Law ◽  
Cosmological Horizon ◽  
Generalized Second Law ◽  
Area Product ◽  
Mass Dependent ◽  
Product Relation

Abstract The objective of this paper is to investigate the validity conditions for the generalized second law of thermodynamics, and the universal relations for multi-horizon dynamical spacetime. It is found that there are three horizons of McVittie universe termed as event horizon, cosmological apparent horizon, and virtual horizon. The mass-dependent and mass-independent area product relations are formulated in terms of areas of the dynamical event horizon, cosmological horizon and virtual horizon. It is noted that whereas the area sum relation is mass independent, the area product relation is explicitly mass dependent. Moreover, we have also analyzed and listed explicit mass-independent and mass-dependent relations.

GENERALIZED SECOND LAW OF THERMODYNAMICS IN WORMHOLE GEOMETRY

2010 ◽  
Vol 19 (05) ◽  
pp. 565-571 ◽  
Author(s):  
ASHFAQUE H. BOKHARI ◽  
M. AKBAR
Keyword(s):  
Apparent Horizon ◽  
Second Law Of Thermodynamics ◽  
Phantom Energy ◽  
Second Law ◽  
Generalized Second Law ◽  
Horizon Temperature

In this paper, the generalized second law (GSL) of thermodynamics is studied at the apparent horizon of the evolving wormhole. It is shown that the GSL holds at the apparent horizon of the evolving wormhole together with the assumption that the horizon temperature is equal to the temperature of the phantom energy.

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