scholarly journals Influence of Lorentz Invariation Violation on Arbitrary Spin Fermion Tunneling Radiation in the Vaidya-Bonner Space-Time

2020 ◽  
Vol 2020 ◽  
pp. 1-6
Author(s):  
Jie Zhang ◽  
Zhie Liu ◽  
Bei Sha ◽  
Xia Tan ◽  
Yuzhen Liu ◽  
...  
Keyword(s):  
Black Hole ◽  
String Theory ◽  
Dynamic Equation ◽  
Spherical Symmetry ◽  
Gravitational Theory ◽  
Arbitrary Spin ◽  
Space Time ◽  
Hawking Temperature ◽  
Tunneling Radiation ◽  
Symmetry Space

In the space-time of the nonstationary spherical symmetry Vaidya-Bonner black hole, an accurate modification of Hawking tunneling radiation for fermions with arbitrary spin is researched. Considering a light dispersion relationship derived from string theory, quantum gravitational theory, and the Rarita-Schwinger equation in the nonstationary spherical symmetry space-time, we derive an accurately modified dynamic equation for fermions with arbitrary spin. By solving the equation, the modified tunneling rate of fermions with arbitrary spin, Hawking temperature, and entropy at the event horizon of the Vaidya-Bonner black hole are presented. We find that the Hawking temperature will increase, but the entropy will decrease compared with the case without the Lorentz Invariation Violation modification.

Modification of the dynamic equation and tunneling radiation of fermions with arbitrary spin in Kerr-Newman-Kasuya black hole space-time

2020 ◽  
Vol 35 (20) ◽  
pp. 2050168
Author(s):  
Xia Tan ◽  
Yuzhen Liu ◽  
Zhie Liu ◽  
Bei Sha ◽  
Jie Zhang ◽  
...  
Keyword(s):  
Black Hole ◽  
Dynamic Equation ◽  
Lorentz Invariance ◽  
High Energy ◽  
Gravitational Theory ◽  
Arbitrary Spin ◽  
Space Time ◽  
Hawking Temperature ◽  
Tunneling Radiation ◽  
Invariance Violation

According to the Lorentz Invariance Violation originated from the quantum gravitational theory and the string theory, the Rarita-Schwinger equation of arbitrary spin fermions are exactly modified in the high energy case. Then we restudy the dynamic equation of fermions with arbitrary spin in charged Kerr-Newman-Kasuya (KNK) black hole space-time. Moreover, the tunneling radiation characteristics of fermions are studied according to the modified dynamic equation. Therefore, some new expressions for physical quantities such as tunneling rate, surface gravitation, Hawking temperature and entropy of the black hole are corrected. As a result, we calculate that the surface gravitation at the event horizon of the KNK black hole is a constant, and find that the Hawking temperature will increase, but the entropy will decrease with the increasing of correction parameter.

scholarly journals The Accurate Modification of Tunneling Radiation of Fermions with Arbitrary Spin in Kerr-de Sitter Black Hole Space-Time

2020 ◽  
Vol 2020 ◽  
pp. 1-6 ◽  
Author(s):  
Bei Sha ◽  
Zhi-E Liu ◽  
Xia Tan ◽  
Yu-Zhen Liu ◽  
Jie Zhang
Keyword(s):  
Black Hole ◽  
Dispersion Relation ◽  
String Theory ◽  
Event Horizon ◽  
Quantum Tunneling ◽  
Gravitational Theory ◽  
Arbitrary Spin ◽  
Space Time ◽  
De Sitter ◽  
Tunneling Radiation

The quantum tunneling radiation of fermions with arbitrary spin at the event horizon of Kerr-de Sitter black hole is accurately modified by using the dispersion relation proposed in the study of string theory and quantum gravitational theory. The derived tunneling rate and temperature at the black hole horizons are analyzed and studied.

Correction to the tunneling radiation of arbitrary spin fermions in Kerr Anti-de Sitter black hole

2019 ◽  
Vol 35 (09) ◽  
pp. 2050055 ◽  
Author(s):  
Zhie Liu ◽  
Xia Tan ◽  
Bei Sha ◽  
Yuzhen Liu ◽  
Jie Zhang
Keyword(s):  
Black Hole ◽  
Dispersion Relation ◽  
String Theory ◽  
Dynamic Equation ◽  
High Energy ◽  
Gravitational Theory ◽  
Arbitrary Spin ◽  
De Sitter ◽  
Tunneling Radiation ◽  
Do So

According to the dispersion relation that stems from the string theory and the quantum gravitational theory, we study the dynamic equation of fermions, that is Rarita–Schwinger equation. Based on the Lorentz dispersion relation modified in the high-energy case, the dynamic equation of arbitrary spin fermions is accurately corrected in the Kerr Anti-de Sitter black hole, then the action of fermions with arbitrary spin is computed. To do so, we obtain the new expressions for tunneling rate, Hawking temperature and entropy of the black hole. At last, some comments are made on the results of our work.

Modification to tunneling radiation of arbitrary spin fermions in stationary axisymmetric Sen black hole space–time

2020 ◽  
Vol 98 (11) ◽  
pp. 999-1003
Author(s):  
YuZhen Liu ◽  
Bei Sha ◽  
Xia Tan ◽  
Zhie Liu ◽  
Jie Zhang
Keyword(s):  
Black Hole ◽  
Dispersion Relation ◽  
Lorentz Violation ◽  
Arbitrary Spin ◽  
Particle Dynamics ◽  
Space Time ◽  
Tunneling Radiation ◽  
Curved Space ◽  
Physical Quantities ◽  
Horizon Temperature

Considering the modified Lorentz dispersion relation, combined with the Dirac equation and Rarita–Schwinger equation of fermions in stationary axisymmetric Sen black hole space–time, the fermion tunneling radiation of the black hole is modified accurately, and meaningful physical quantities such as the modified fermion tunneling rate, event horizon temperature, and entropy of the black hole are obtained. The discussion of the conclusions shows that the effect of the Lorentz dispersion relation and Lorentz violation theory on particle dynamics must be considered in curved space–time during the study of quantum theory and Hawking tunneling radiation.

Modified fermion tunneling radiation of Demianski–Newman black hole at higher energy scales

2019 ◽  
Vol 35 (10) ◽  
pp. 2050061
Author(s):  
Z. Luo ◽  
X. G. Lan
Keyword(s):  
Black Hole ◽  
Dispersion Relation ◽  
Jacobi Equation ◽  
Black Hole Entropy ◽  
Hawking Temperature ◽  
Tunneling Radiation ◽  
Black Hole Spacetime ◽  
Newman Black Hole ◽  
Hamilton Jacobi Equation

It is suggested that the dispersion relation might be corrected at higher energy scales and lead to the deformed Hamilton–Jacobi equation. In this paper, we use the correction to investigate the fermion tunneling radiation for Demianski–Newman black hole spacetime, and the result shows that the corresponding Hawking temperature and the black hole entropy are related to the angular parameters of the black hole coordinates.

scholarly journals DUALITIES, COMPOSITENESS AND SPACE–TIME STRUCTURE OF 4D EXTREME STRINGY BLACK HOLES

1999 ◽  
Vol 14 (07) ◽  
pp. 1015-1034 ◽  
Author(s):  
MARIANO CADONI
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
String Theory ◽  
Bound States ◽  
Bound State ◽  
Space Time ◽  
Naked Singularities ◽  
Heterotic String Theory ◽  
Space Time Structure ◽  
Black Hole Solutions

We study the BPS black hole solutions of the (truncated) action for heterotic string theory compactified on a six-torus. The O (3,Z) duality symmetry of the theory, together with the bound state interpretation of extreme black holes, is used to generate the whole spectrum of the solutions. The corresponding space–time structures, written in terms of the string metric, are analyzed in detail. In particular, we show that only the elementary solutions present naked singularities. The bound states have either null singularities (electric solutions) or are regular (magnetic or dyonic solutions) with near-horizon geometries given by the product of two 2d spaces of constant curvature. The behavior of some of these solutions as supersymmetric attractors is discussed. We also show that our approach is very useful to understand some of the puzzling features of charged black hole solutions in string theory.

Tunneling Radiation of a Torus-Like Black Hole in Anti-de Sitter Space-Time

2006 ◽  
Vol 45 (12) ◽  
pp. 2428-2436
Author(s):  
Hui-Ling Li ◽  
De-Jiang Qi ◽  
Qing-Quan Jiang ◽  
Shu-Zheng Yang
Keyword(s):  
Black Hole ◽  
De Sitter Space ◽  
Space Time ◽  
De Sitter ◽  
Tunneling Radiation

scholarly journals Rainbow Rindler metric and Unruh effect

2017 ◽  
Vol 32 (33) ◽  
pp. 1750196 ◽  
Author(s):  
Gaurav Yadav ◽  
Baby Komal ◽  
Bibhas Ranjan Majhi
Keyword(s):  
Black Hole ◽  
Minkowski Space ◽  
Space Time ◽  
Hawking Temperature ◽  
Black Hole Horizon ◽  
Unruh Effect ◽  
First Principle ◽  
Coordinate Transformations ◽  
Minkowski Space Time ◽  
Planck Energy

The energy of a particle moving on a space–time, in principle, can affect the background metric. The modifications to it depend on the ratio of energy of the particle and the Planck energy, known as rainbow gravity. Here, we find the explicit expressions for the coordinate transformations from rainbow Minkowski space–time to accelerated frame. The corresponding metric is also obtained which we call as rainbow Rindler metric. So far we are aware of that no body has done it in a concrete manner. Here, this is found from the first principle and hence all the parameters are properly identified. The advantage of this is that the calculated Unruh temperature is compatible with the Hawking temperature of the rainbow black hole horizon, obtained earlier. Since the accelerated frame has several importance in revealing various properties of gravity, we believe that the present result will not only fill that gap, but also help to explore different aspects of rainbow gravity paradigm.

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 ASYMPTOTIC QUASINORMAL MODES OF A NONCOMMUTATIVE GEOMETRY INSPIRED SCHWARZSCHILD BLACK HOLE

2007 ◽  
Vol 22 (11) ◽  
pp. 2047-2056 ◽  
Author(s):  
PULAK RANJAN GIRI
Keyword(s):  
Black Hole ◽  
Noncommutative Geometry ◽  
Quasinormal Modes ◽  
Space Time ◽  
Hawking Temperature ◽  
Scalar Perturbation ◽  
Schwarzschild Black Hole ◽  
The Real ◽  
Quasinormal Frequency

We study the asymptotic quasinormal modes for the scalar perturbation of the noncommutative geometry inspired Schwarzschild black hole in 3+1 dimensions. We have considered M ≥ M0, which effectively correspond to a single horizon Schwarzschild black hole with correction due to noncommutativity. We have shown that for this situation the real part of the asymptotic quasinormal frequency is proportional to ln (3). The effect of noncommutativity of space–time on quasinormal frequency arises through the constant of proportionality, which is Hawking temperature TH(θ). We also consider the two-horizons case and show that in this case also the real part of the asymptotic quasinormal frequency is proportional to ln (3).

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