Scalar solutions in spacetimes containing a cosmic string

Abstract

Scalar quantum particles are considered in the Kerr–Newman, Gödel and Friedmann–Robertson–Walker spacetimes with a cosmic string passing through them. The solutions of the Klein–Gordon equation in these backgrounds are obtained and some of their consequences are discussed, with emphasis on the role played by the presence of the cosmic string.

Fermions in Gödel-type background space-times with torsion and the Landau quantization

“…These classes of background space-times lead to new solutions of the Einstein field equations which can be called as the Gödel-type solutions. Recently, several authors [26,31] have studied generalizations of Gödel-type solutions for cosmic string space-times. In this work, we are interested in the study of the quantum dynamics of relativistic fermions in this class of space-times.…”

“…The field theory in AdS space-time with a cosmic string was investigated by de Mello and Saharian [40]. In a recent work, Fernandes et al [31] have solved the Klein-Gordon equation for a particle confined to two concentric thin shells in the Gödel, Kerr-Newman and FRW space-times with the presence of topological defect passing through then.…”

Linear confinement of a scalar particle in a Gödel-type spacetime

“…For example, the Schwarzschild spacetime with a cosmic string [11,12], the Kerr spacetime with a cosmic string [13], Gödel-type spacetime with a cosmic string [10] and the cosmic string in AdS space [14]. Furthermore, it is worth mentioning the studies of a scalar quantum particle confined in two concentric thin shells in curved spacetime backgrounds with a cosmic string [15], the Klein-Gordon oscillator in a Som-Raychaudhuri spacetime with a cosmic dispiration [16], and fermions in a family of Gödel-type solutions with a cosmic string [17]. It is worth to observe that the investigation of the influence of the topology of the cosmic string spacetime on the linear confinement of the scalar particle made in this work can be useful in studying the effects of disclinations (an analogue of the cosmic string) on condensed matter systems.…”

The Dirac equation in (1 + 2) -dimensional Gürses space-time backgrounds

“…In Ref. [31], scalar quantum particles in the backgrounds of Kerr-Newman, Gödel and Friedmann-Robertson-Walker (FRW) space-times with a cosmic string, were investigated. In Ref.…”