Entropy relations and bounds of BTZ black hole in gravity's rainbow

2019 ◽  
Vol 28 (08) ◽  
pp. 1950109
Author(s):  
Tairan Liang ◽  
Wei Tang ◽  
Wei Xu
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Cauchy Horizon ◽  
Btz Black Hole ◽  
Gravity’S Rainbow ◽  
Gravity's Rainbow ◽  
Entropy Product ◽  
Entropy Bound ◽  
Entropy Bounds ◽  
Mass Dependent

In this paper, we present the entropy relations and bounds of Banados–Teitelboim–Zanelli (BTZ) black hole in two models of gravity's rainbow. Because of the effect of gravity's rainbow, one can find that the entropy product and sum both lost their universality and become mass-dependent. On the other hand, comparing the entropy bound of event horizon to the BTZ case, it is shown that the angular momentum [Formula: see text] enlarges the entropy bound while the gravity's rainbow parameter [Formula: see text] diminishes it. For the entropy bound of Cauchy horizon, the gravity's rainbow parameter [Formula: see text] enlarges it at the large [Formula: see text] limit, while [Formula: see text] diminishes it at the small [Formula: see text] limit. These suggest some clues on the geometrical origin of black hole entropy bounds.

scholarly journals Thermodynamics of BTZ black holes in gravity’s rainbow

2017 ◽  
Vol 32 (15) ◽  
pp. 1750076 ◽  
Author(s):  
Salwa Alsaleh
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Free Energy ◽  
Quantum Gravity ◽  
Critical Behavior ◽  
Loop Quantum Gravity ◽  
Temperature Deformation ◽  
Btz Black Hole ◽  
Gravity’S Rainbow ◽  
Gravity's Rainbow

In this paper, we deform the thermodynamics of a BTZ black hole from rainbow functions in gravity’s rainbow. The rainbow functions will be motivated from the results in loop quantum gravity and noncommutative geometry. It will be observed that the thermodynamics gets deformed due to these rainbow functions, indicating the existence of a remnant. However, the Gibbs free energy does not get deformed due to these rainbow functions, and so the critical behavior from Gibbs does not change by this deformation. This is because the deformation in the entropy cancels out the temperature deformation.

scholarly journals Quantum corrected thermodynamics of nonlinearly charged BTZ black holes in massive gravity’s rainbow

2021 ◽  
pp. 2150158
Author(s):  
M. Dehghani ◽  
B. Pourhassan
Keyword(s):  
Black Hole ◽  
Three Dimensional ◽  
Black Hole Entropy ◽  
Nonlinear Electrodynamics ◽  
Logarithmic Term ◽  
Geometrical Properties ◽  
First Order ◽  
Gravity’S Rainbow ◽  
Gravity's Rainbow ◽  
Logarithmic Corrections

In this paper, we consider three-dimensional massive gravity’s rainbow and obtain black hole solutions in three different cases of Born–Infeld, logarithmic, and exponential theories of nonlinear electrodynamics. We discuss the horizon structure and geometrical properties. Then, we study thermodynamics of these models by considering the first-order quantum correction effects, which appear as a logarithmic term in the black hole entropy. We discuss such effects on the black hole stability and phase transitions. We find that due to the quantum corrections, the second-order phase transition happens in Born–Infeld and logarithmic models. We obtain the modified first law of black hole thermodynamics in the presence of logarithmic corrections.

THE BLACK HOLE ENTROPY BOUND AND THE MAXIMUM TEMPERATURE FOR MESON FORMATION IN THE NUCLEAR FIREBALL

1991 ◽  
Vol 06 (33) ◽  
pp. 3039-3045 ◽  
Author(s):  
JISHNU DEY ◽  
MIRA DEY ◽  
MARCELO SCHIFFER ◽  
LAURO TOMIO
Keyword(s):  
Black Hole ◽  
Simple Model ◽  
Black Hole Entropy ◽  
Heavy Ion ◽  
Black Hole Thermodynamics ◽  
Maximum Temperature ◽  
Ion Collisions ◽  
Pion Interferometry ◽  
Entropy Bound ◽  
Confined System

The entropy bound from black hole thermodynamics can be invoked to set limits for temperatures at which hadrons can survive as a confined system. We find that this implies that the pion can be formed in heavy ion collisions, much later than heavier mesons, for example the ρ-meson, when the fireball is cooler. The temperature found in a simple model agree qualitatively with experiment. We also suggest that this may be the reason why in pion interferometry experiments the space-time volume of the pion source seems large.

scholarly journals Free-fall frame black hole in gravity’s rainbow

2016 ◽  
Vol 94 (6) ◽  
Author(s):  
Jun Tao ◽  
Peng Wang ◽  
Haitang Yang
Keyword(s):  
Black Hole ◽  
Free Fall ◽  
Gravity’S Rainbow ◽  
Gravity's Rainbow
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