scholarly journals ANGULAR EIGENVALUES OF HIGHER-DIMENSIONAL KERR-(A)dS BLACK HOLES WITH TWO ROTATIONS

2012 ◽  
Vol 07 ◽  
pp. 237-246 ◽  
Author(s):  
H. T. CHO ◽  
A. S. CORNELL ◽  
JASON DOUKAS ◽  
WADE NAYLOR
Keyword(s):  
Black Holes ◽  
Gordon Equation ◽  
Higher Dimensional ◽  
Klein Gordon ◽  
Rotation Parameters ◽  
Klein Gordon Equation

In this paper, following the work of Chen, Lü and Pope, we present the general metric for Kerr-(A)dS black holes with two rotations. The corresponding Klein-Gordon equation is separated explicitly, from which we develop perturbative expansions for the angular eigenvalues in powers of the rotation parameters with D ≥ 6.

scholarly journals A NOTE ON KLEIN–GORDON EQUATION IN A GENERALIZED KALUZA–KLEIN MONOPOLE BACKGROUND

2007 ◽  
Vol 22 (22) ◽  
pp. 1621-1634 ◽  
Author(s):  
EUGEN RADU ◽  
MIHAI VISINESCU
Keyword(s):  
Black Holes ◽  
Gordon Equation ◽  
Asymptotic Structure ◽  
Klein Gordon ◽  
Monopole Solution ◽  
Klein Gordon Equation ◽  
Kaluza Klein

We investigate solutions to the Klein–Gordon equation in a class of five-dimensional geometries presenting the same symmetries and asymptotic structure as the Gross–Perry–Sorkin monopole solution. Apart from globally regular metrics, we consider also squashed Kaluza–Klein black holes backgrounds.

scholarly journals Linear stability of Mandal–Sengupta–Wadia black holes

2019 ◽  
Vol 34 (12) ◽  
pp. 1950094
Author(s):  
H. Gürsel ◽  
G. Tokgöz ◽  
İ. Sakallı
Keyword(s):  
Black Holes ◽  
Linear Stability ◽  
Gordon Equation ◽  
Small Time ◽  
Einstein Equations ◽  
Time Dependent ◽  
Small Perturbations ◽  
Klein Gordon ◽  
Dimensional Gravity ◽  
Klein Gordon Equation

In this paper, the linear stability of static Mandal–Sengupta–Wadia (MSW) black holes in (2 + 1)-dimensional gravity against circularly symmetric perturbations is studied. Our analysis only applies to non-extremal configurations, thus leaving out the case of the extremal (2 + 1) MSW solution. The associated fields are assumed to have small perturbations in these static backgrounds. We then consider the dilaton equation and specific components of the linearized Einstein equations. The resulting effective Klein–Gordon equation is reduced to the Schrödinger-like wave equation with the associated effective potential. Finally, it is shown that MSW black holes are stable against the small time-dependent perturbations.

scholarly journals Einstein-Klein-Gordon System in Higher Dimensional

2021 ◽  
Vol 32 (2) ◽  
pp. 16-19
Author(s):  
Mirda Prisma Wijayanto ◽  
Fiki Taufik Akbar Sobar ◽  
Bobby Eka Gunara
Keyword(s):  
Scalar Curvature ◽  
Einstein Equation ◽  
Ricci Tensor ◽  
Gordon Equation ◽  
Higher Dimensional ◽  
Klein Gordon ◽  
Klein Gordon Equation

In this present work, we study the Einstein equation coupled with the nonlinear Klein-Gordon equation. We obtain Ricci tensor, scalar curvature, and Einstein equation of the Einstein-Klein-Gordon system in higher dimensional. If we put D=4, our formulations reduce to the four dimensional Einstein-Klein-Gordon system.

A NEW METHOD DEALING WITH HAWKING EFFECTS OF EVAPORATING BLACK HOLES

1992 ◽  
Vol 07 (20) ◽  
pp. 1771-1778 ◽  
Author(s):  
ZHAO ZHENG ◽  
DAI XIANXIN
Keyword(s):  
Black Holes ◽  
Wave Equation ◽  
Gordon Equation ◽  
Standard Form ◽  
New Method ◽  
Event Horizons ◽  
Klein Gordon ◽  
Klein Gordon Equation

Both the location and the temperature of event horizons of evaporating black holes can be easily given if one proposes the Klein-Gordon equation approaches the standard form of wave equation near event horizons by using tortoise-type coordinates.

HIGHER-DIMENSIONAL GEOMETRIC DESCRIPTION OF THE QUANTUM KLEIN–GORDON EQUATION

2013 ◽  
Vol 10 (09) ◽  
pp. 1320014 ◽  
Author(s):  
BENJAMIN KOCH
Keyword(s):  
Electromagnetic Field ◽  
Gordon Equation ◽  
Bohmian Mechanics ◽  
External Electromagnetic Field ◽  
Geometrical Theory ◽  
Geometric Description ◽  
Curved Space ◽  
Higher Dimensional ◽  
Klein Gordon ◽  
Klein Gordon Equation

It is shown that the equations of relativistic Bohmian mechanics for multiple bosonic particles have a dual description in terms of a classical theory of conformally "curved" space-time. This shows that it is possible to formulate quantum mechanics as a purely classical geometrical theory. The results are further generalized to interactions with an external electromagnetic field.

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