scholarly journals Thermodynamics of the Schwarzschild and Reissner–Nordström black holes under higher-order generalized uncertainty principle

2021 ◽  
Vol 136 (9) ◽  
Author(s):  
S. Hassanabadi ◽  
J. Kříž ◽  
W. S. Chung ◽  
B. C. Lütfüoğlu ◽  
E. Maghsoodi ◽  
...  
Keyword(s):  
Black Holes ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Higher Order

ABOUT THE GENERALIZED UNCERTAINTY PRINCIPLE

2004 ◽  
Vol 19 (23) ◽  
pp. 1767-1779 ◽  
Author(s):  
LI XIANG ◽  
YOU-GEN SHEN
Keyword(s):  
Black Holes ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Heuristic Method ◽  
Black Body ◽  
Black Body Radiation ◽  
State Equations ◽  
Black Hole Radiation ◽  
Logarithmic Corrections ◽  
Thermodynamics Of Black Holes

Some consequences of the generalized uncertainty principle (GUP) are investigated, including the deformations of the Wein's law and the state equations of black body radiation. The effects of the GUP on the thermodynamics of black holes are investigated by a heuristic method. A bound on the luminosity of the black hole radiation is obtained. The logarithmic corrections to the Bekenstein–Hawking entropy are obtained in three cases. The potential relation between the GUP and the holographic principle is also briefly discussed.

Hawking radiation of charged fermions from accelerating and rotating black holes with generalized uncertainty principle

2019 ◽  
Vol 28 (08) ◽  
pp. 1950102
Author(s):  
Muhammad Rizwan ◽  
Khalil Ur Rehman
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Uncertainty Principle ◽  
Hawking Radiation ◽  
Generalized Uncertainty Principle ◽  
Hawking Temperature ◽  
Black Hole Evaporation ◽  
Rotating Black Holes ◽  
Gravity Effects ◽  
Made In

By considering the quantum gravity effects based on generalized uncertainty principle, we give a correction to Hawking radiation of charged fermions from accelerating and rotating black holes. Using Hamilton–Jacobi approach, we calculate the corrected tunneling probability and the Hawking temperature. The quantum corrected Hawking temperature depends on the black hole parameters as well as quantum number of emitted particles. It is also seen that a remnant is formed during the black hole evaporation. In addition, the corrected temperature is independent of an angle [Formula: see text] which contradicts the claim made in the literature.

Thermodynamic studies of 5D Myers–Perry black holes: General uncertainty principle approach

2019 ◽  
Vol 35 (07) ◽  
pp. 2050029
Author(s):  
Amritendu Haldar ◽  
Ritabrata Biswas
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Phase Transitions ◽  
Thermodynamic Properties ◽  
Specific Heat ◽  
Uncertainty Principle ◽  
Black Hole Solution ◽  
Generalized Uncertainty Principle ◽  
Stability Criteria ◽  
Temperature Growth

In this paper, we consider the five-dimensional Myers–Perry black hole solution to study the thermodynamic properties and compare this with the thermodynamic behaviors of generalized uncertainty principle (GUP)-induced Myers–Perry solution. We study the existence of remnant quantities. Stability criteria are studied by observing the natures of temperature growth and sign changes in specific heat. We try to locate phase transitions. Moreover, we study the corresponding physical range for the GUP parameter and try to justify the value with the data predicted by different observations.

BLACK HOLES, THE GENERALIZED UNCERTAINTY PRINCIPLE AND HIGHER DIMENSIONS

2013 ◽  
Vol 28 (03) ◽  
pp. 1340011 ◽  
Author(s):  
B. J. CARR
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Event Horizon ◽  
Uncertainty Principle ◽  
Black Hole Solution ◽  
Generalized Uncertainty Principle ◽  
Black Hole Mass ◽  
Compton Wavelength ◽  
Planck Mass ◽  
Spatial Dimensions

We propose a new way in which black holes connect macrophysics and microphysics. The Generalized Uncertainty Principle suggests corrections to the Uncertainty Principle as the energy increases towards the Planck value. It also provides a natural transition between the expressions for the Compton wavelength below the Planck mass and the black hole event horizon size above it. This suggests corrections to the event horizon size as the black hole mass falls towards the Planck value, leading to the concept of a Generalized Event Horizon. Extrapolating this expression below the Planck mass suggests the existence of a new kind of black hole, whose size is of order its Compton wavelength. Recently it has been found that such a black hole solution is permitted by loop quantum gravity, its unusual properties deriving from the fact that it is hidden behind the throat of a wormhole. This has important implications for the formation and evaporation of black holes in the early Universe, especially if there are extra spatial dimensions.

scholarly journals Thermodynamics of a Non-Stationary Black Hole Based on Generalized Uncertainty Principle

2017 ◽  
Vol 1 (2) ◽  
pp. 127
Author(s):  
Mustari Mustari ◽  
Yuant Tiandho
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Uncertainty Principle ◽  
Correction Term ◽  
Apparent Horizon ◽  
Generalized Uncertainty Principle ◽  
Minimum Length ◽  
Theory Of Relativity ◽  
Stationary Black Hole ◽  
Gravitational Fields

In the general theory of relativity (GTR), black holes are defined as objects with very strong gravitational fields even light can not escape. Therefore, according to GTR black hole can be viewed as a non-thermodynamic object. The worldview of a black hole began to change since Hawking involves quantum field theory to study black holes and found that black holes have temperatures that analogous to black body radiation. In the theory of quantum gravity there is a term of the minimum length of an object known as the Planck length that demands a revision of Heisenberg's uncertainty principle into a Generalized Uncertainty Principle (GUP). Based on the relationship between the momentum uncertainty and the characteristic energy of the photons emitted by a black hole, the temperature and entropy of the non-stationary black hole (Vaidya-Bonner black hole) were calculated. The non-stationary black hole was chosen because it more realistic than static black holes to describe radiation phenomena. Because the black hole is dynamic then thermodynamics studies are conducted on both black hole horizons: the apparent horizon and its event horizon. The results showed that the dominant correction term of the temperature and entropy of the Vaidya-Bonner black hole are logarithmic.

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