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.

Fermion tunneling effect in Vaidya-de Sitter space

2010 ◽  
Vol 88 (4) ◽  
pp. 277-282 ◽  
Author(s):  
De-Jiang Qi ◽  
Wei-Min Wang ◽  
Shuang-Mei Li
Keyword(s):  
Black Hole ◽  
Energy Conservation ◽  
De Sitter Space ◽  
Space Time ◽  
Tunneling Probability ◽  
The Self ◽  
Tunneling Effect ◽  
De Sitter ◽  
Tunneling Method ◽  
Background Space

In this paper, by considering energy conservation and the self-gravitation reaction in the dynamical background space-time, we attempt to extend Kerner and Mann's work to the Vaidya–de Sitter black hole by the fermion-tunneling method. The result we derive shows that the tunneling probability of the Vaidya–de Sitter black hole is related not only to the change in the Bekenstein–Hawking entropy but also to the integral of the changing horizon, which are different from the stationary cases.

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.

scholarly journals HAWKING TEMPERATURE OF DILATON BLACK HOLES FROM TUNNELING

2008 ◽  
Vol 23 (40) ◽  
pp. 3419-3429 ◽  
Author(s):  
JI-RONG REN ◽  
RAN LI ◽  
FEI-HU LIU
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Quantum Tunneling ◽  
Null Geodesic ◽  
Hawking Temperature ◽  
Jacobi Method ◽  
Semiclassical Methods ◽  
Dilatonic Black Hole ◽  
Dilaton Black Holes ◽  
Kaluza Klein

Recently, it has been suggested that Hawking radiation can be derived from quantum tunneling methods. Here, we calculated Hawking temperature of dilatonic black holes from tunneling formalism. The two semiclassical methods adopted here are: the null-geodesic method proposed by Parikh and Wilczek and the Hamilton–Jacobi method proposed by Angheben et al. We apply the two methods to analyze the Hawking temperature of the static spherical symmetric dilatonic black hole, the rotating Kaluza–Klein black hole, and the rotating Kerr–Sen black hole.

scholarly journals THERMODYNAMICS OF CONSTANT CURVATURE BLACK HOLES THROUGH SEMICLASSICAL TUNNELING

2011 ◽  
Vol 26 (13) ◽  
pp. 937-947 ◽  
Author(s):  
ALEXANDRE YALE
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Constant Curvature ◽  
Hawking Radiation ◽  
Emission Rate ◽  
Yang Mills ◽  
Fermion Fields ◽  
Tunneling Method ◽  
Semiclassical Tunneling ◽  
Algorithmic Procedure

We study the semiclassical tunneling of scalar and fermion fields from the horizon of a Constant Curvature Black Hole, which is locally AdS and whose five-dimensional analogue is dual to [Formula: see text] super-Yang–Mills. In particular, we highlight the strong reliance of the tunneling method for Hawking radiation on near-horizon symmetries, a fact often hidden behind the algorithmic procedure with which the tunneling approach tends to be used. We ultimately calculate the emission rate of scalars and fermions, and hence the black hole's Hawking temperature.

scholarly journals Non-Singular Model of Magnetized Black Hole Based on Nonlinear Electrodynamics

Universe ◽  
2019 ◽  
Vol 5 (12) ◽  
pp. 225 ◽  
Author(s):  
Sergey I. Kruglov
Keyword(s):  
Black Holes ◽  
Heat Capacity ◽  
Black Hole ◽  
Hawking Temperature ◽  
Nonlinear Electrodynamics ◽  
De Sitter ◽  
Fundamental Length ◽  
Gravity Effects ◽  
Black Hole Spacetime ◽  
Thermodynamics Of Black Holes

A new modified Hayward metric of magnetically charged non-singular black hole spacetime in the framework of nonlinear electrodynamics is constructed. When the fundamental length introduced, characterising quantum gravity effects, vanishes, one comes to the general relativity coupled with the Bronnikov model of nonlinear electrodynamics. The metric can have one (an extreme) horizon, two horizons of black holes, or no horizons corresponding to the particle-like solution. Corrections to the Reissner–Nordström solution are found as the radius approaches infinity. As r → 0 the metric has a de Sitter core showing the absence of singularities, the asymptotic of the Ricci and Kretschmann scalars are obtained and they are finite everywhere. The thermodynamics of black holes, by calculating the Hawking temperature and the heat capacity, is studied. It is demonstrated that phase transitions take place when the Hawking temperature possesses the maximum. Black holes are thermodynamically stable at some range of parameters.

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.

TUNNELING FROM REISSNER-NORDSTRÖM-DE SITTER BLACK HOLE WITH A GLOBAL MONOPOLE

2013 ◽  
Vol 23 ◽  
pp. 271-275 ◽  
Author(s):  
M. SHARIF ◽  
WAJIHA JAVED
Keyword(s):  
Black Hole ◽  
Dirac Equation ◽  
Hawking Radiation ◽  
Tunneling Probability ◽  
Back Reaction ◽  
Global Monopole ◽  
De Sitter ◽  
Fermions Tunneling ◽  
Tunneling Phenomenon ◽  
Entropy Corrections

This paper is devoted to investigate the Hawking radiation as a tunneling phenomenon from the Reissner-Nordström-de Sitter black hole with a global monopole. We use the semiclassical WKB approximation to the general covariant charged Dirac equation and evaluate tunneling probability as well as Hawking temperature. We also study the back reaction effects of the emitted spin particles and Bekenstein-Hawking entropy corrections of fermions tunneling through horizon.

Tunneling in Horava–Lifshitz black hole

2013 ◽  
Vol 91 (1) ◽  
pp. 64-70 ◽  
Author(s):  
J. Sadeghi ◽  
A. Banijamali ◽  
E. Reisi
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Dimensional Space ◽  
Null Geodesic ◽  
Hawking Temperature ◽  
Jacobi Method ◽  
Back Reaction ◽  
Dimensional Space Time ◽  
Lifshitz Black Holes ◽  
Lifshitz Black Hole

In this paper, using the Hamilton–Jacobi method we first calculate the Hawking temperature for a Horava–Lifshitz black hole. Then by utilizing the radial null geodesic method we obtain the entropy of such a black hole in four-dimensional space–time. We also consider the effect of back reaction on the surface gravity and compute modifications of entropy and Hawking temperature because of such an effect. Our calculations are for two kinds of Horava–Lifshitz black holes: Kehagias–Sfetsos and Lu–Mei–Pope.

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