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.

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 Black hole emission of vector particles in (1+1) dimensions

2014 ◽  
Vol 29 (22) ◽  
pp. 1450118 ◽  
Author(s):  
S. I. Kruglov
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Event Horizon ◽  
Quantum Tunneling ◽  
De Sitter Space ◽  
Space Time ◽  
De Sitter ◽  
Proca Equation ◽  
Scalar Particles ◽  
Vector Particles

We investigate the radiation of spin-1 particles by black holes in (1+1) dimensions within the Proca equation. The process is considered as quantum tunneling of bosons through an event horizon. It is shown that the emission temperature for the Schwarzschild background geometry is the same as the Hawking temperature corresponding to scalar particles emission. We also obtain the radiation temperatures for the de Sitter, Rindler and Schwarzschild–de Sitter space–times. In a particular case when two horizons in Schwarzschild–de Sitter space–time coincides, the Nariai temperature is recovered. The thermodynamical entropy of a black hole is calculated for Schwarzschild–de Sitter space–time having two horizons.

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.

Tunneling Radiation from the Cosmological Horizon

2013 ◽  
Vol 647 ◽  
pp. 918-922
Author(s):  
Hui Ling Li ◽  
Cheng Cheng ◽  
Yan Ge Wu
Keyword(s):  
Black Hole ◽  
Hawking Radiation ◽  
Quantum Tunneling ◽  
Tunneling Rate ◽  
Real Spectrum ◽  
Cosmological Horizon ◽  
De Sitter ◽  
Tunneling Radiation ◽  
Unitary Theory ◽  
The Real

Extending the Parikh’s method of quantum tunneling radiation, Hawking radiation via tunneling from the cosmological horizon of NUT-Kerr-Newman de Sitter black hole is deeply studied. The result shows that the tunneling rate on the cosmological horizon is related to the change of Bekenstein-Hawking entropy and the real spectrum is not strictly thermal at all, but is consistent with an underlying unitary 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

DISCUSSION ON THE CHARACTERISTICS OF THE QUANTUM TUNNELING RADIATION OF GLOBAL MONOPOLE CHARGED BLACK HOLE

2006 ◽  
Vol 21 (07) ◽  
pp. 1529-1535 ◽  
Author(s):  
DE-JIANG QI ◽  
HUI-LING LI ◽  
QING-QUAN JIANG ◽  
MEN-QUAN LIU ◽  
SHU-ZHENG YANG
Keyword(s):  
Black Hole ◽  
Energy Conservation ◽  
Event Horizon ◽  
Quantum Tunneling ◽  
Charged Black Hole ◽  
Tunneling Effect ◽  
Global Monopole ◽  
Tunneling Radiation

Considering energy conservation, adopting KKW method, the tunneling effect of global monopole charged black hole was deeply studied. The result shows that the emission of particle on the event horizon relates to the change of Bekenstein–Hawking entropy and the spectrum is not pure thermal. Moreover, the corrections to the entropy and temperature of the black hole are presented.

SEMICLASSICAL AND QUANTUM BLACK HOLES AND THEIR EVAPORATION, DE SITTER AND ANTI-DE SITTER REGIMES, GRAVITATIONAL AND STRING PHASE TRANSITIONS

2007 ◽  
Vol 22 (32) ◽  
pp. 6089-6131 ◽  
Author(s):  
M. RAMÓN MEDRANO ◽  
N. G. SÁNCHEZ
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Phase Transitions ◽  
String Theory ◽  
Quantum Gravity ◽  
Space Time ◽  
De Sitter ◽  
Wave Particle Duality ◽  
Effective String Theory

An effective string theory in physically relevant cosmological and black hole space–times is reviewed. Explicit computations of the quantum string entropy, partition function and quantum string emission by black holes (Schwarzschild, rotating, charged, asymptotically flat, de Sitter dS and anti-de Sitter AdS space–times) in the framework of effective string theory in curved backgrounds provide an amount of new quantum gravity results as: (i) gravitational phase transitions appear with a distinctive universal feature: a square-root branch point singularity in any space–time dimensions. This is of the type of the de Vega–Sánchez transition for the thermal self-gravitating gas of point particles. (ii) There are no phase transitions in AdS alone. (iii) For dS background, upper bounds of the Hubble constant H are found, dictated by the quantum string phase transition. (iv) The Hawking temperature and the Hagedorn temperature are the same concept but in different (semiclassical and quantum) gravity regimes respectively. (v) The last stage of black hole evaporation is a microscopic string state with a finite string critical temperature which decays as usual quantum strings do in nonthermal pure quantum radiation (no information loss). (vi) New lower string bounds are given for the Kerr–Newman black hole angular momentum and charge, which are entirely different from the upper classical bounds. (vii) Semiclassical gravity states undergo a phase transition into quantum string states of the same system, these states are duals of each other in the precise sense of the usual classical–quantum (wave–particle) duality, which is universal irrespective of any symmetry or isommetry of the space–time and of the number or the kind of space–time dimensions.

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