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.

Mechanics of a charged particle on the Kaluza–Klein background

1995 ◽  
Vol 73 (9-10) ◽  
pp. 602-607 ◽  
Author(s):  
S. R. Vatsya
Keyword(s):  
Electromagnetic Field ◽  
Charged Particle ◽  
Integral Method ◽  
Gordon Equation ◽  
Type Equation ◽  
Fifth Dimension ◽  
Klein Gordon ◽  
Path Integral Method ◽  
Klein Gordon Equation ◽  
Kaluza Klein

The path-integral method is used to derive a generalized Schrödinger-type equation from the Kaluza–Klein Lagrangian for a charged particle in an electromagnetic field. The compactness of the fifth dimension and the properties of the physical paths are used to decompose this equation into its infinite components, one of them being similar to the Klein–Gordon equation.

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 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.

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.

scholarly journals Proper time and conformal problem in Kaluza–Klein theory

2015 ◽  
Vol 12 (05) ◽  
pp. 1550063
Author(s):  
E. Minguzzi
Keyword(s):  
Scalar Field ◽  
Gordon Equation ◽  
Proper Time ◽  
Inertial Mass ◽  
Scalar Fields ◽  
Conformal Factor ◽  
Klein Theory ◽  
Klein Gordon ◽  
Klein Gordon Equation ◽  
Kaluza Klein

In the traditional Kaluza–Klein theory, the cylinder condition and the constancy of the extra-dimensional radius (scalar field) imply that time-like geodesics on the five-dimensional bundle project to solutions of the Lorentz force equation on spacetime. This property is lost for nonconstant scalar fields, in fact there appears new terms that have been interpreted mainly as new forces or as due to a variable inertial mass and/or charge. Here we prove that the additional terms can be removed if we assume that charged particles are coupled with the same spacetime conformal structure of neutral particles but through a different conformal factor. As a consequence, in Kaluza–Klein theory the proper time of the charged particle might depend on the charge-to-mass ratio and the scalar field. Then we show that the compatibility between the equation of the projected geodesic and the classical limit of the Klein–Gordon equation fixes unambiguously the conformal factor of the coupling metric solving the conformal ambiguity problem of Kaluza–Klein theories. We confirm this result by explicitly constructing the projection of the Klein–Gordon equation and by showing that each Fourier mode, even for a variable scalar field, satisfies the Klein–Gordon equation on the base.

PARTICLE MASSES IN KALUZA–KLEIN–GORDON THEORY AND THE REALITY OF EXTRA DIMENSIONS

1998 ◽  
Vol 13 (33) ◽  
pp. 2689-2694 ◽  
Author(s):  
HONGYA LIU ◽  
PAUL S. WESSON
Keyword(s):  
Wave Function ◽  
Exact Solutions ◽  
Extra Dimension ◽  
Extra Dimensions ◽  
Gordon Equation ◽  
Superstring Theory ◽  
Klein Theory ◽  
Klein Gordon ◽  
Klein Gordon Equation ◽  
Kaluza Klein

To see how the effective 4-D mass of a particle is affected by the geometry of an ND space, we take the Klein–Gordon equation in 5-D and evaluate it in 4-D using two exact solutions of 5-D Kaluza–Klein theory. The mass (squared) turns out to be complex if the theory is independent of the extra coordinate, but can be made real if the wave function depends on an extra dimension which is physical. These results have significant implications for 10-D superstring theory.

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