scholarly journals Stability study of a model for the Klein–Gordon equation in Kerr space-time

2012 ◽  
Vol 45 (1) ◽  
pp. 203-227 ◽  
Author(s):  
Horst Reinhard Beyer ◽  
Miguel Alcubierre ◽  
Miguel Megevand ◽  
Juan Carlos Degollado
Keyword(s):  
Gordon Equation ◽  
Space Time ◽  
Stability Study ◽  
Klein Gordon ◽  
Kerr Space ◽  
Klein Gordon Equation

scholarly journals Stability study of a model for the Klein-Gordon equation in Kerr space-time II

2021 ◽  
Vol 88 (1) ◽  
pp. 115-143
Author(s):  
Horst Reinhard Beyer ◽  
Miguel Alcubierre ◽  
Miguel Megevand
Keyword(s):  
Gordon Equation ◽  
Space Time ◽  
Stability Study ◽  
Klein Gordon ◽  
Kerr Space ◽  
Klein Gordon Equation

scholarly journals Relativistic scalar particle subject to a confining potential and Lorentz symmetry breaking effects in the cosmic string space–time

2016 ◽  
Vol 31 (07) ◽  
pp. 1650026 ◽  
Author(s):  
H. Belich ◽  
K. Bakke
Keyword(s):  
Symmetry Breaking ◽  
Cosmic String ◽  
Gordon Equation ◽  
Scalar Potential ◽  
Scalar Particle ◽  
Lorentz Symmetry ◽  
Space Time ◽  
Klein Gordon ◽  
Lorentz Symmetry Breaking ◽  
Klein Gordon Equation

The behavior of a relativistic scalar particle subject to a scalar potential under the effects of the violation of the Lorentz symmetry in the cosmic string space–time is discussed. It is considered two possible scenarios of the Lorentz symmetry breaking in the CPT-even gauge sector of the Standard Model Extension defined by a tensor [Formula: see text]. Then, by introducing a scalar potential as a modification of the mass term of the Klein–Gordon equation, it is shown that the Klein–Gordon equation in the cosmic string space–time is modified by the effects of the Lorentz symmetry violation backgrounds and bound state solution to the Klein–Gordon equation can be obtained.

Analytical approach for space–time fractional Klein–Gordon equation

Optik ◽  
2017 ◽  
Vol 135 ◽  
pp. 337-345 ◽  
Author(s):  
Omer Unsal ◽  
Ozkan Guner ◽  
Ahmet Bekir
Keyword(s):  
Analytical Approach ◽  
Gordon Equation ◽  
Space Time ◽  
Klein Gordon ◽  
Klein Gordon Equation

The study of a spinless relativistic particle in the spinning cosmic string space–time

2017 ◽  
Vol 95 (4) ◽  
pp. 331-335 ◽  
Author(s):  
Zhi Wang ◽  
Zheng-wen Long ◽  
Chao-yun Long ◽  
Bing-qian Wang
Keyword(s):  
Cosmic String ◽  
Gordon Equation ◽  
Relativistic Particle ◽  
Energy Levels ◽  
Space Time ◽  
Rotational Parameter ◽  
Cylindrically Symmetric ◽  
Background Space ◽  
Klein Gordon ◽  
Klein Gordon Equation

In this paper we analyze a spinless relativistic particle depicted by the Klein–Gordon equation in the spinning cosmic string space–time. The solutions of the Klein–Gordon equation in the presence of a uniform magnetic field and the Klein–Gordon equation with two common cylindrically symmetric scalar potentials under the background space–time are presented; the energy spectrum and the corresponding wave functions of these systems are obtained by using the functional analysis method. It is shown that the energy levels of the considered physical systems depend explicitly on the angular deficit α and the rotational parameter a, which characterize the global structure of the metric in the space–time of the spinning cosmic string.

scholarly journals Klein-Gordon Equation and Wave Function in Robertson-Walker and Schwarzschild space-tim

2021 ◽  
Author(s):  
Sangwha Yi
Keyword(s):  
Wave Function ◽  
Wave Equations ◽  
Gordon Equation ◽  
Space Time ◽  
Wave Functions ◽  
Relativity Theory ◽  
General Relativity Theory ◽  
Gauge Fixing ◽  
Klein Gordon ◽  
Klein Gordon Equation

In the general relativity theory, we find Klein-Gordon wave functions in Robertson-Walker and Schwarzschild space-time. Specially, this article is that Klein-Gordon wave equations is treated by gauge fixing equations in Robertson-Walker space-time and Schwarzschild space-time.

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