scholarly journals GUP effects on Hawking temperature in Riemann space-time

2020 ◽  
Vol 44 (4) ◽  
pp. 373-383
Author(s):  
Yumnam Kenedy MEITEI ◽  
Telem Ibungochouba SINGH ◽  
Irom Ablu MEITEI
Keyword(s):  
Space Time ◽  
Riemann Space ◽  
Hawking Temperature

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.

Corrected Hawking Temperature in Snyder’s Quantized Space-time

2014 ◽  
Vol 54 (6) ◽  
pp. 2098-2106
Author(s):  
Meng-Sen Ma ◽  
Fang Liu ◽  
Ren Zhao
Keyword(s):  
Space Time ◽  
Hawking Temperature

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.

SEPARATION OF VARIABLES FOR THE DIRAC SQUARE EQUATION

1994 ◽  
Vol 03 (04) ◽  
pp. 739-746 ◽  
Author(s):  
V.G. BAGROV ◽  
V.V. OBUKHOV
Keyword(s):  
Jacobi Equation ◽  
Separation Of Variables ◽  
Complete Separation ◽  
Space Time ◽  
Riemann Space ◽  
Necessary Condition ◽  
Separation Procedure ◽  
Electromagnetic Potential ◽  
Curved Space ◽  
Hamilton Jacobi Equation

The problem of separation of variables for the Dirac square equation on a curved space-time in the presence of electromagnetic potential is considered. It is shown that the necessary condition for the separation of variables in the Dirac square equation is the complete separation of variables in the related Hamilton-Jacobi equation, i.e. the Riemann space should be Stäckel. The constructive scheme for separation procedure is presented.

Dirac equation in Riemann space-time

1984 ◽  
Vol 80 (4) ◽  
pp. 477-487 ◽  
Author(s):  
M. Brignoli ◽  
A. Loinger
Keyword(s):  
Dirac Equation ◽  
Space Time ◽  
Riemann Space

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.

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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