scholarly journals The entropy of an acoustic black hole in neo-Newtonian theory

2018 ◽  
Vol 33 (32) ◽  
pp. 1850185 ◽  
Author(s):  
M. A. Anacleto ◽  
Ines G. Salako ◽  
F. A. Brito ◽  
E. Passos
Keyword(s):  
Black Hole ◽  
Statistical Method ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
State Density ◽  
Statistical Entropy ◽  
Newtonian Theory ◽  
Logarithmic Corrections ◽  
Quantum Statistical ◽  
Correction Terms

In this paper, we consider the metric of a (2[Formula: see text]+[Formula: see text]1)-dimensional rotating acoustic black hole in the neo-Newtonian theory to compute the Hawking temperature, and applying the quantum statistical method, we calculate the statistical entropy using a corrected state density due to the generalized uncertainty principle (GUP). In our calculations, we have shown that the obtained entropy is finite and correction terms are generated. Moreover, the computation of the entropy for this method does not present logarithmic corrections.

scholarly journals Black Hole Thermodynamics and Generalized Uncertainty Principle with Higher Order Terms in Momentum Uncertainty

2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Sunandan Gangopadhyay ◽  
Abhijit Dutta
Keyword(s):  
Black Hole ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Temperature Relation ◽  
Standard Case ◽  
Logarithmic Corrections ◽  
Higher Order Terms ◽  
Radiation Rate ◽  
Correction Terms ◽  
Boltzmann Law

We study the modification of thermodynamic properties of Schwarzschild and Reissner-Nordström black hole in the framework of generalized uncertainty principle with correction terms up to fourth order in momentum uncertainty. The mass-temperature relation and the heat capacity for these black holes have been investigated. These have been used to obtain the critical and remnant masses. The entropy expression using this generalized uncertainty principle reveals the area law up to leading order logarithmic corrections and subleading corrections of the form 1/An. The mass output and radiation rate using Stefan-Boltzmann law have been computed which show deviations from the standard case and the case with the simplest form for the generalized uncertainty principle.

scholarly journals BLACK HOLE THERMODYNAMICS AND MODIFIED GUP CONSISTENT WITH DOUBLY SPECIAL RELATIVITY

2012 ◽  
Vol 27 (39) ◽  
pp. 1250227 ◽  
Author(s):  
K. ZEYNALI ◽  
F. DARABI ◽  
H. MOTAVALLI
Keyword(s):  
Heat Capacity ◽  
Black Hole ◽  
Special Relativity ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Black Hole Thermodynamics ◽  
Schwarzschild Black Hole ◽  
Commutation Relations ◽  
Doubly Special Relativity ◽  
Correction Terms

We study the black hole thermodynamics and obtain the correction terms for temperature, entropy, and heat capacity of the Schwarzschild black hole, resulting from the commutation relations in the framework of Modified Generalized Uncertainty Principle suggested by Doubly Special Relativity.

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