scholarly journals The Klein–Gordon equation on the toric AdS-Schwarzschild black hole

2016 ◽  
Vol 33 (12) ◽  
pp. 125010 ◽  
Author(s):  
Jake Dunn ◽  
Claude Warnick
Keyword(s):  
Black Hole ◽  
Gordon Equation ◽  
Schwarzschild 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.

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.

THE GREEN FUNCTION OF THE KLEIN–GORDON EQUATION IN BLACK-HOLE COORDINATES

2012 ◽  
Vol 21 (02) ◽  
pp. 1250019
Author(s):  
JOSE L. MARTINEZ-MORALES
Keyword(s):  
Black Hole ◽  
Green Function ◽  
Gordon Equation ◽  
Free Particle ◽  
Radial Symmetry ◽  
Double Integration ◽  
Klein Gordon ◽  
The Green Function ◽  
Energy And Momentum ◽  
Klein Gordon Equation

The Green function of the Klein–Gordon equation in black-hole coordinates is calculated. This function is a sum on the harmonic modes of the sphere. The first term is a double integration on the spectrum of energy, and the momentum of the particle. Far from the horizon, the double integration is approximated by an integration on a line defined by the relation of energy and momentum of a free particle. Assumptions of time-independence and radial symmetry are made.

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