Axially symmetric stationary black-hole states of the Einstein gravitational theory

1976 ◽  
Vol 6 (3) ◽  
pp. 405-447 ◽  
Author(s):  
R. Meinhardt L.
Keyword(s):  
Black Hole ◽  
Gravitational Theory ◽  
Axially Symmetric ◽  
Stationary Black Hole

General form of the analytic function f(T) in diverse dimension for a static planar spacetime

2019 ◽  
Vol 28 (12) ◽  
pp. 1950158 ◽  
Author(s):  
Gamal Nashed
Keyword(s):  
Black Hole ◽  
Analytic Function ◽  
Black Hole Solution ◽  
Static Solution ◽  
Gravitational Theory ◽  
Interesting Property ◽  
Constant Function ◽  
Field Equations ◽  
Adm Mass ◽  
Laws Of Thermodynamics

We derive an exact static solution in diverse dimension, without any constraints, to the field equations of [Formula: see text] gravitational theory using a planar spacetime with two unknown functions, i.e. [Formula: see text] and [Formula: see text]. The black hole solution is characterized by two constants, [Formula: see text] and [Formula: see text], one is related to the mass of the black hole, [Formula: see text], and the other is responsible to make the solution deviate from the teleparallel equivalent of general relativity (TEGR). We show that the analytic function [Formula: see text] depends on the constant [Formula: see text] and becomes constant function when [Formula: see text] which corresponds to the TEGR case. The interesting property of this solution is the fact that it makes the singularity of the Kretschmann invariant much softer than the TEGR case. We calculate the energy of this black hole and show that it is equivalent to ADM mass. Applying a coordinate transformation, we derive a rotating black hole with nontrivial values of the torsion scalar and [Formula: see text]. Finally, we examine the physical properties of this black hole solution using the laws of thermodynamics and show that it has thermodynamical stability.

scholarly journals On the topology of stationary black hole event horizons in higher dimensions

2006 ◽  
Vol 2006 (02) ◽  
pp. 025-025 ◽  
Author(s):  
Craig Helfgott ◽  
Yaron Oz ◽  
Yariv Yanay
Keyword(s):  
Black Hole ◽  
Higher Dimensions ◽  
Stationary Black Hole ◽  
Event Horizons

Unthermal Hawking Radiation from a General Stationary Black Hole

2008 ◽  
Vol 49 (2) ◽  
pp. 379-381 ◽  
Author(s):  
Zhang Yong-Ping ◽  
Dai Qian ◽  
Liu Wen-Biao
Keyword(s):  
Black Hole ◽  
Hawking Radiation ◽  
Stationary Black Hole

scholarly journals The wave equation on axisymmetric stationary black hole backgrounds

2009 ◽  
Author(s):  
Mihalis Dafermos ◽  
Kerstin E. Kunze ◽  
Marc Mars ◽  
Miguel Angel Vázquez-Mozo
Keyword(s):  
Black Hole ◽  
Wave Equation ◽  
Stationary Black Hole

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.

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