Black hole remnant and quantum tunneling corrections to the five-dimensional Myers–Perry black hole based on generalized uncertainty principle

2016 ◽  
Vol 94 (11) ◽  
pp. 1153-1157 ◽  
Author(s):  
Hui-Ling Li ◽  
Rong Lin
Keyword(s):  
Black Hole ◽  
Dirac Equation ◽  
Quantum Gravity ◽  
Quantum Tunneling ◽  
Generalized Uncertainty Principle ◽  
Tunneling Probability ◽  
Gravity Effect ◽  
Quantum Gravity Effect ◽  
Modified Dirac Equation ◽  
Black Hole Remnant

Taking into account quantum gravity effect influenced by the generalized uncertain principle (GUP), via modified Dirac equation, we discuss the quantum gravity correction to fermion tunneling and the remnant in a five-dimensional Myers–Perry black hole. By analyzing the modified tunneling probability, we find that the emission spectrum is no longer pure thermal. Furthermore, it is worth emphasizing that the quantum gravity correction influenced by GUP prevents the black hole from evaporating totally, resulting in a black hole remnant.

Gravitational analysis of neutral regular black hole in Rastall gravity

2020 ◽  
Vol 35 (27) ◽  
pp. 2050225 ◽  
Author(s):  
Riasat Ali ◽  
Muhammad Asgher ◽  
M. F. Malik
Keyword(s):  
Black Hole ◽  
Wave Equation ◽  
Quantum Gravity ◽  
Generalized Uncertainty Principle ◽  
Gravity Effect ◽  
Tunneling Radiation ◽  
Regular Black Hole ◽  
Quantum Gravity Effect ◽  
Stability And Instability ◽  
The Stability

This paper is devoted to the tunneling radiation and quantum gravity effect on tunneling radiation of neutral regular black hole in Rastall gravity. We analyzed the tunneling radiation and Hawking temperature of neutral regular black hole by applying the Hamilton-Jacobi ansatz phenomenon. Lagrangian wave equation have been investigated by generalized uncertainty principle (GUP), using the WKB-approximation and calculated the tunneling rate as well as temperature. Furthermore, we analyzed the temperature of this neutral regular black hole in the presence of gravity. The stability and instability of neutral regular black hole are also analyzed.

GUP-corrected thermodynamics of accelerating and rotating black holes

2017 ◽  
Vol 26 (05) ◽  
pp. 1741018 ◽  
Author(s):  
Muhammad Rizwan ◽  
K. Saifullah
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Quantum Gravity ◽  
Black Hole Physics ◽  
Generalized Uncertainty Principle ◽  
Hawking Temperature ◽  
Rotating Black Holes ◽  
Gravity Effects ◽  
Klein Gordon ◽  
Black Hole Remnant

When quantum gravity effects, that are based on generalized uncertainty principle with a minimal measurable length, are incorporated into black hole physics the Klein–Gordon and Dirac equations get modified. Using these modified equations we investigate tunneling of scalar particles and fermions from event and acceleration horizons of accelerating and rotating black holes and obtain the modified Hawking temperature with quantum gravity effects. We see that Hawking temperature depends on black hole parameters as well as the quantum numbers of emitted fermions. The quantum corrections slow down black hole evaporation and leave a black hole remnant. This contradicts complete evaporation of a black hole which is presaged by the standard temperature formula for black holes. The modified Hawking temperatures presented here, in appropriate limits, are consistent with the previous results in the literature.

scholarly journals Effect of the GUP on the Hawking radiation of black hole in 2 + 1 dimensions with quintessence and charged BTZ-like magnetic black hole

2020 ◽  
Vol 35 (13) ◽  
pp. 2050104 ◽  
Author(s):  
R. Babar ◽  
W. Javed ◽  
A. Övgün
Keyword(s):  
Black Hole ◽  
Hawking Radiation ◽  
Quantum Tunneling ◽  
Generalized Uncertainty Principle ◽  
W Bosons ◽  
Tunneling Probability ◽  
Radiation Process ◽  
Massive Spin ◽  
Gravity Effects ◽  
Tunneling Phenomenon

In this paper, we investigate the Hawking radiation process by using the quantum tunneling phenomenon of massive spin-1 (W-bosons) and spin-0 particles by the black hole in 2 + 1 dimensions surrounded by quintessence as well as charged BTZ-like magnetic black hole. First of all, by using Hamilton–Jacobi ansatz and WKB approximation to the field equation of massive vector particles, we get the required tunneling rate of emitted particles and obtain the corresponding Hawking temperature [Formula: see text] for the black hole (BH) surrounded by quintessence. In order to study the quantum gravity effects, we utilize the generalized Proca and Klein–Gordan equations incorporating the generalized uncertainty principle (GUP) for these BHs and recover their modified tunneling probability as well as accompanying quantum corrected temperatures [Formula: see text].

scholarly journals Effect of Quantum Gravity on the Stability of Black Holes

Symmetry ◽  
2019 ◽  
Vol 11 (5) ◽  
pp. 631 ◽  
Author(s):  
Riasat Ali ◽  
Kazuharu Bamba ◽  
Syed Asif Ali Shah
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Quantum Gravity ◽  
Gravitational Interaction ◽  
Tunneling Probability ◽  
Back Reaction ◽  
Massive Vector ◽  
Tunneling Mechanism ◽  
Quantum Gravity Effect ◽  
The Stability

We investigate the massive vector field equation with the WKB approximation. The tunneling mechanism of charged bosons from the gauged super-gravity black hole is observed. It is shown that the appropriate radiation consistent with black holes can be obtained in general under the condition that back reaction of the emitted charged particle with self-gravitational interaction is neglected. The computed temperatures are dependant on the geometry of black hole and quantum gravity. We also explore the corrections to the charged bosons by analyzing tunneling probability, the emission radiation by taking quantum gravity into consideration and the conservation of charge and energy. Furthermore, we study the quantum gravity effect on radiation and discuss the instability and stability of black hole.

Quantum tunneling effect of Dirac particles in a Schwarzschild–Gödel space-time

2010 ◽  
Vol 88 (11) ◽  
pp. 851-855 ◽  
Author(s):  
De-Jiang Qi ◽  
Shuang-Mei Li ◽  
Hong-Qiang Ru
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Dirac Equation ◽  
Quantum Tunneling ◽  
Tunneling Probability ◽  
Hawking Temperature ◽  
Tunneling Effect ◽  
Dirac Particles ◽  
Tunneling Method ◽  
Gödel Black Hole

In this paper, motivated by the Kerner and Man fermion tunneling method of 4-dimensional black holes, we further improve the analysis to investigate the quantum tunneling effect of Dirac particles from the five-dimensional Schwarzschild–Gödel black hole. We successfully construct a set of appropriate matrices γμ for the general covariant Dirac equation and derive the tunneling probability and Hawking temperature, which is exactly the same as that obtained by other methods.

Quantum gravity corrections to tunneling of spin-1/2 fermions from Kerr–Newman Black Hole

2021 ◽  
pp. 2150123
Author(s):  
Aheibam Keshwarjit Singh ◽  
Irom Ablu Meitei ◽  
Telem Ibungochouba Singh ◽  
Kangujam Yugindro Singh
Keyword(s):  
Black Hole ◽  
Electromagnetic Field ◽  
Dirac Equation ◽  
Quantum Gravity ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Hawking Temperature ◽  
Curved Space ◽  
Gravity Effects ◽  
Newman Black Hole

In this paper, we solve the Dirac Equation in curved space–time, modified by the generalized uncertainty principle, in the presence of an electromagnetic field. Using this, we study the tunneling of [Formula: see text]-spin fermions from Kerr–Newman black hole. Corrections to the Hawking temperature and entropy of the black hole due to quantum gravity effects are also discussed.

Remnants by fermions' tunneling from a Hořava–Lifshitz black hole

2015 ◽  
Vol 30 (05) ◽  
pp. 1550016
Author(s):  
Guoping Li ◽  
Tianhu Cheng ◽  
Zhang Li ◽  
Zhongwen Feng ◽  
Xiaotao Zu
Keyword(s):  
Black Hole ◽  
Dirac Equation ◽  
Quantum Gravity ◽  
Generalized Uncertainty Principle ◽  
Hawking Temperature ◽  
Jacobi Method ◽  
Tunneling Radiation ◽  
Fermions Tunneling ◽  
Lifshitz Black Hole ◽  
Tunneling Behavior

Adopting the Hamilton–Jacobi method, we investigated the tunneling radiation of a deform Hořava–Lifshitz black hole, and the original tunneling rate and Hawking temperature are obtained. Based on the generalized uncertainty principle, recent researches imply that the quantum gravity corrected the Dirac equation exactly. Hence, the corrected Dirac equation can express the tunneling behavior of fermions may be more suitable, and meanwhile, the corrected Hawking temperature of the Hořava–Lifshitz black hole is obtained. Comparing with previous results, we find that the Hawking temperature is not only related to the mass of black hole, but also related to the mass and energy of outgoing fermions. Finally, we inferred that the Hawking radiation would stop by the reason of the quantum gravity, and the remnant of the black hole exists naturally, also the singularity of the black hole is avoided.

scholarly journals Effect of GUP on Hawking radiation of BTZ black hole

2020 ◽  
Vol 35 (05) ◽  
pp. 2050018
Author(s):  
T. Ibungochouba Singh ◽  
Y. Kenedy Meitei ◽  
I. Ablu Meitei
Keyword(s):  
Black Hole ◽  
Dirac Equation ◽  
Quantum Gravity ◽  
Hawking Radiation ◽  
Mass Parameter ◽  
Generalized Uncertainty Principle ◽  
Massless Particle ◽  
Hawking Temperature ◽  
Jacobi Method ◽  
Btz Black Hole

The Hawking radiation of BTZ black hole is investigated based on generalized uncertainty principle effect by using Hamilton–Jacobi method and Dirac equation. The tunneling probability and the Hawking temperature of the spin-1/2 particles of the BTZ black hole are investigated using the modified Dirac equation based on the GUP. The modified Hawking temperature for fermion crossing the black hole horizon includes the mass parameter of the black hole, angular momentum, energy and also outgoing mass of the emitted particle. Besides, considering the effect of GUP into account, the modified Hawking radiation of massless particle from a BTZ black hole is investigated using Damour and Ruffini method, tortoise coordinate transformation and modified Klein–Gordon equation. The relation between the modified Hawking temperature obtained by using Damour–Ruffini method and the energy of the emitted particle is derived. The original Hawking temperature is also recovered in the absence of quantum gravity effect. There is a possibility of negative Hawking temperature for emission of Dirac particles under quantum gravity effects.

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