Fermi field and Dirac oscillator in a Som–Raychaudhuri space-time

被引：0
作者：
Marc de Montigny
Soroush Zare
Hassan Hassanabadi
机构：
[1] University of Alberta,Faculté Saint
[2] Shahrood University of Technology,Jean
来源：
General Relativity and Gravitation | 2018年 / 50卷
关键词：
Dirac equation; Curved space-time; Som–Raychaudhuri metric; Nikiforov–Uvarov method;
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摘要：
We investigate the relativistic dynamics of a Dirac field in the Som–Raychaudhuri space-time, which is described by a Gödel-type metric and a stationary cylindrical symmetric solution of Einstein field equations for a charged dust distribution in rigid rotation. In order to analyze the effect of various physical parameters of this space-time, we solve the Dirac equation in the Som–Raychaudhuri space-time and obtain the energy levels and eigenfunctions of the Dirac operator by using the Nikiforov–Uvarov method. We also examine the behaviour of the Dirac oscillator in the Som–Raychaudhuri space-time, in particular, the effect of its frequency and the vorticity parameter.
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