Generalized Uncertainty Principle and Correction Value to the Kerr Black Hole Entropy

2007 ◽  
Vol 47 (2) ◽  
pp. 520-525 ◽  
Author(s):  
Zhang Ya ◽  
Hu Shuang-Qi ◽  
Zhao Ren ◽  
Li Huai-Fan
Keyword(s):  
Black Hole ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Kerr Black Hole ◽  
Black Hole Entropy

The influence of the generalized uncertainty principle on Kerr black hole thermodynamics

2018 ◽  
Vol 48 (5) ◽  
pp. 050401 ◽  
Author(s):  
ShanPing WU ◽  
ChengZhou LIU ◽  
QiaoJun CAO ◽  
Sheng WANG ◽  
RuYa REN ◽  
...  
Keyword(s):  
Black Hole ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Kerr Black Hole ◽  
Black Hole Thermodynamics

scholarly journals CURVATURE, PHASE SPACE, HOLOGRAPHY AND BLACK HOLE ENTROPY

2009 ◽  
Vol 18 (14) ◽  
pp. 2167-2171 ◽  
Author(s):  
C. SIVARAM ◽  
KENATH ARUN
Keyword(s):  
Black Hole ◽  
Phase Space ◽  
Surface Area ◽  
Uncertainty Principle ◽  
Hawking Radiation ◽  
Generalized Uncertainty Principle ◽  
Black Hole Entropy ◽  
Black Hole Masses ◽  
Interior Volume

This paper discusses the thermodynamics of a black hole with respect to Hawking radiation and the entropy. We look at a unified picture of black hole entropy and curvature and how this can lead to the usual black hole luminosity due to Hawking radiation. It is also shown how the volume inside the horizon, apart from the surface area (hologram!), can play a role in understanding the Hawking flux. In addition, holography implies a phase space associated with the interior volume and this happens to be just a quantum of phase space, filled with just one photon. The generalized uncertainty principle can be incorporated in this analysis. These results hold for all black hole masses in any dimension.

GENERALIZED UNCERTAINTY PRINCIPLE AND THE QUANTUM ENTROPY OF A KERR BLACK HOLE

2004 ◽  
Vol 13 (09) ◽  
pp. 1847-1856 ◽  
Author(s):  
CHEN LI ◽  
LI XIANG ◽  
YOU-GEN SHEN
Keyword(s):  
Black Hole ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Kerr Black Hole ◽  
Quantum States ◽  
Brick Wall ◽  
Wall Model ◽  
Kerr Spacetime ◽  
Brick Wall Model ◽  
New Equation

Taking into account the generalized uncertainty principle (GUP), we calculate the entropy of a scalar field in a Kerr spacetime. Different to previous work, we have used an new equation of the density of quantum states, which arises from the modified commutation relation [Formula: see text]. The divergence in the brick wall model is removed, without the cutoff.

scholarly journals Corrections to entropy and thermodynamics of charged black hole using generalized uncertainty principle

2015 ◽  
Vol 30 (09) ◽  
pp. 1550030 ◽  
Author(s):  
Abdel Nasser Tawfik ◽  
Eiman Abou El Dahab
Keyword(s):  
Black Hole ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Black Hole Entropy ◽  
Quantum Corrections ◽  
Two Dimensional ◽  
Sectional Area ◽  
Logarithmic Divergence ◽  
Cross Sectional ◽  
The Impact

Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein–Hawking (black hole) entropy, which relates the entropy to the cross-sectional area of the black hole horizon. Using generalized uncertainty principle (GUP), corrections to the geometric entropy and thermodynamics of black hole will be introduced. The impact of GUP on the entropy near the horizon of three types of black holes: Schwarzschild, Garfinkle–Horowitz–Strominger and Reissner–Nordström is determined. It is found that the logarithmic divergence in the entropy-area relation turns to be positive. The entropy S, which is assumed to be related to horizon's two-dimensional area, gets an additional terms, for instance [Formula: see text], where α is the GUP parameter.

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