Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

Deflection of Null and Time-like Geodesics in Topological Defects Space-Time Geometry

Version 1 : Received: 19 July 2023 / Approved: 19 July 2023 / Online: 20 July 2023 (04:43:14 CEST)
Version 2 : Received: 21 July 2023 / Approved: 24 July 2023 / Online: 25 July 2023 (03:39:09 CEST)

How to cite: Ahmed, F.; Kayum, A.; Choudhury, M.A.; Hassan, M. Deflection of Null and Time-like Geodesics in Topological Defects Space-Time Geometry. Preprints 2023, 2023071376. https://doi.org/10.20944/preprints202307.1376.v2 Ahmed, F.; Kayum, A.; Choudhury, M.A.; Hassan, M. Deflection of Null and Time-like Geodesics in Topological Defects Space-Time Geometry. Preprints 2023, 2023071376. https://doi.org/10.20944/preprints202307.1376.v2

Abstract

In this research, we investigate the bending of photon light and/or time-like geodesics within the context of four-dimensional space-time geometry, specifically in the presence of topological defects. These topological defects manifest as cosmic string space-time configurations, encompassing screw dislocation, spiral dislocation, and spacelike dislocation. Our primary objective is to determine the extent of deflection experienced by light-like and time-like geodesics and analyze how this deflection is affected by the cosmic string parameter, screw dislocation parameter, and spacelike dislocation parameter. To accomplish this, we employ a derivation technique that centers on the observation that photon rays (light-like geodesics) and/or time-like geodesics follow paths parallel to the z-axis while maintaining a constant radius along the cylinder.

Keywords

Topological defects; Gravitational lensing

Subject

Physical Sciences, Theoretical Physics

Comments (1)

Comment 1
Received: 25 July 2023
Commenter: Faizuddin Ahmed
Commenter's Conflict of Interests: Author
Comment: Improved version 
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