scholarly journals Separability of Klein-Gordon equation on near horizon extremal Myers-Perry black hole

2021 ◽  
Vol 104 (12) ◽  
Author(s):  
Saeedeh Sadeghian ◽  
Hovhannes Demirchian
Keyword(s):  
Black Hole ◽  
Gordon Equation ◽  
Klein Gordon ◽  
Klein Gordon Equation

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.

scholarly journals Existence of exponentially growing finite energy solutions for the charged Klein–Gordon equation on the de Sitter–Kerr–Newman metric

2021 ◽  
Vol 18 (02) ◽  
pp. 293-310
Author(s):  
Nicolas Besset ◽  
Dietrich Häfner
Keyword(s):  
Black Hole ◽  
Angular Momentum ◽  
Half Plane ◽  
Gordon Equation ◽  
Finite Energy ◽  
De Sitter ◽  
Klein Gordon ◽  
Upper Half Plane ◽  
Small Charge ◽  
Klein Gordon Equation

We show the existence of exponentially growing finite energy solutions for the charged Klein–Gordon equation on the De Sitter–Kerr–Newman metric for small charge and mass of the field and small angular momentum of the black hole. The mechanism behind is that the zero resonance that exists for zero charge, mass and angular momentum moves into the upper half plane.

scholarly journals The Goursat problem at the horizons for the Klein–Gordon equation on the de Sitter–Kerr metric

2021 ◽  
Vol 18 (03) ◽  
pp. 609-652
Author(s):  
Pascal Millet
Keyword(s):  
Black Hole ◽  
Angular Momentum ◽  
Gordon Equation ◽  
Goursat Problem ◽  
Main Topic ◽  
Kerr Metric ◽  
De Sitter ◽  
Massless Field ◽  
Klein Gordon ◽  
Klein Gordon Equation

The main topic of this paper is the Goursat problem at the horizon for the Klein–Gordon equation on the De Sitter–Kerr metric when the angular momentum (per unit of mass) of the black hole is small. Indeed, we solve the Goursat problem for fixed angular momentum [Formula: see text] of the field (with the restriction that [Formula: see text] is not zero in the case of a massless field).

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