scholarly journals Generalized Klein–Gordon equation and quantum gravity corrections to tunneling of scalar particles from Kerr–Newman black hole

2019 ◽  
Vol 79 (8) ◽  
Author(s):  
Aheibam Keshwarjit Singh ◽  
Irom Ablu Meitei ◽  
Telem Ibungochouba Singh ◽  
Kangujam Yugindro Singh
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Gordon Equation ◽  
Scalar Particles ◽  
Newman Black Hole ◽  
Klein Gordon ◽  
Klein Gordon Equation

Corrected black hole thermodynamics in Damour–Ruffini’s method with generalized uncertainty principle

2016 ◽  
Vol 26 (07) ◽  
pp. 1750062 ◽  
Author(s):  
Shiwei Zhou ◽  
Ge-Rui Chen
Keyword(s):  
Black Hole ◽  
Uncertainty Principle ◽  
Gordon Equation ◽  
Generalized Uncertainty Principle ◽  
Black Hole Thermodynamics ◽  
Massless Scalar ◽  
Schwarzschild Black Hole ◽  
Scalar Particles ◽  
Klein Gordon ◽  
Klein Gordon Equation

Recently, some approaches to quantum gravity indicate that a minimal measurable length [Formula: see text] should be considered, a direct implication of the minimal measurable length is the generalized uncertainty principle (GUP). Taking the effect of GUP into account, Hawking radiation of massless scalar particles from a Schwarzschild black hole is investigated by the use of Damour–Ruffini’s method. The original Klein–Gordon equation is modified. It is obtained that the corrected Hawking temperature is related to the energy of emitting particles. Some discussions appear in the last section.

scholarly journals ON THE CREATION OF SCALAR PARTICLES IN A FLAT ROBERTSON–WALKER SPACETIME

2011 ◽  
Vol 26 (35) ◽  
pp. 2639-2651 ◽  
Author(s):  
S. HAOUAT ◽  
R. CHEKIREB
Keyword(s):  
Exact Solutions ◽  
Effective Action ◽  
Gordon Equation ◽  
Transition Probability ◽  
Particle Creation ◽  
Pair Creation ◽  
Bogoliubov Transformation ◽  
Scalar Particles ◽  
Klein Gordon ◽  
Klein Gordon Equation

The problem of particle creation from vacuum in a flat Robertson–Walker spacetime is studied. Two sets of exact solutions for the Klein–Gordon equation are given when the scale factor is a2(η) = a+b tanh(λη)+c tanh2 (λη). Then the canonical method based on Bogoliubov transformation is applied to calculate the pair creation probability and the density number of created particles. Some particular cosmological models such as radiation dominated universe and Milne universe are discussed. For both cases the vacuum to vacuum transition probability is calculated and the imaginary part of the effective action is extracted.

ENTROPY OF SCHWARZSCHILD–de SITTER BLACK HOLE IN NON-THERMAL-EQUILIBRIUM

2001 ◽  
Vol 16 (11) ◽  
pp. 719-723 ◽  
Author(s):  
REN ZHAO ◽  
JUNFANG ZHANG ◽  
LICHUN ZHANG
Keyword(s):  
Black Hole ◽  
Event Horizon ◽  
Thermal Equilibrium ◽  
Gordon Equation ◽  
Brick Wall ◽  
De Sitter ◽  
Logarithmic Term ◽  
Klein Gordon ◽  
Klein Gordon Equation ◽  
Wall Method

Starting from the Klein–Gordon equation, we calculate the entropy of Schwarzschild–de Sitter black hole in non-thermal-equilibrium by using the improved brick-wall method-membrane model. When taking the proper cutoff in the obtained result, we obtain that both black hole's entropy and cosmic entropy are proportional to the areas of event horizon. We avoid the logarithmic term and stripped term in the original brick-wall method. It offers a new way of studying the entropy of the black hole in non-thermal-equilibrium.

scholarly journals Scalar Particles Tunneling Radiation in the Demianski-Newman Spacetime with Influences of Quantum Gravity

2020 ◽  
Vol 2020 ◽  
pp. 1-5
Author(s):  
Zhonghua Li
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Effective Temperature ◽  
Scalar Particle ◽  
Tunneling Radiation ◽  
Scalar Particles ◽  
Newman Black Hole

In this paper, using Hamilton-Jacobi ansatz, we investigate scalar particle tunneling radiation in the Demianski-Newman spacetime. We get the effective temperature with influences of quantum gravity and compare this temperature with the original temperature of the Demianski-Newman black hole. We find that it is similar to the case of fermions; for scalar particles, the influence of quantum gravity will also slow down the increase of Hawking temperatures, which naturally leads to remnants left in the evaporation.

scholarly journals On the Schwarzschild-Anti-de Sitter black hole with an f(R) global monopole

2021 ◽  
Vol 81 (12) ◽  
Author(s):  
H. S. Vieira
Keyword(s):  
Black Hole ◽  
Gordon Equation ◽  
Global Monopole ◽  
De Sitter ◽  
Scalar Particles ◽  
Black Hole Radiation ◽  
Effective Cosmological Constant ◽  
Klein Gordon ◽  
Physical Phenomena

AbstractIn this work, we follow the recently revisited f(R) theory of gravity for studying the interaction between quantum scalar particles and the gravitational field of a generalized black hole with an f(R) global monopole. This background has a term playing the role of an effective cosmological constant, which permits us to call it as Schwarzschild-Anti-de Sitter (SAdS) black hole with an f(R) global monopole. We examine the separability of the Klein–Gordon equation with a non-minimal coupling and then we discuss both the massless and massive cases for a conformal coupling. We investigate some physical phenomena related to the asymptotic behavior of the radial function, namely, the black hole radiation, the quasibound states, and the wave eigenfunctions.

Pair creation in curved Snyder space

2020 ◽  
Vol 35 (04) ◽  
pp. 2050014 ◽  
Author(s):  
B. Hamil ◽  
M. Merad ◽  
T. Birkandan
Keyword(s):  
Electric Field ◽  
Hypergeometric Functions ◽  
Gordon Equation ◽  
Constant Electric Field ◽  
Pair Creation ◽  
Bogoliubov Transformation ◽  
Transformation Technique ◽  
Scalar Particles ◽  
Klein Gordon ◽  
Klein Gordon Equation

We study the problem of pair creation of scalar particles by an electric field in curved Snyder space. We find exact solutions for the Klein–Gordon equation with a constant electric field in terms of hypergeometric functions. Then we calculate the pair creation probability and the number of created pairs of particles through Bogoliubov transformation technique.

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