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

Faizuddin Ahmed; Abdul Kayum; MONJUR ALOM CHOUDHURY; Mahmudul Hassan

doi:10.20944/preprints202307.1376.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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)

In this work, we study the deflection of photon light and/or time-like geodesics in the background of the topological defects in four-dimensional space-time geometry. These topological defects geometries are cosmic string space-time with screw dislocation, spiral dislocation, and spacelike dislocation. We derive the deflection of light-like and time-like geodesics and show the effects of cosmic string parameter, screw dislocation parameter, and spacelike dislocation parameter on them. Our derivation technique is based on the fact that the photon rays (light-like) and/or time-like geodesics is along the path parallel to the z-axis with constant radius of the cylinder.

Topological defects; Gravitational lensing

Physical Sciences, Theoretical Physics

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

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