Teleparallel Killing Vectors of Non-Static
Spherically Symmetric Space-Times

Mushtaq Ahmed; Muhammad Ilyas

doi:https://doi.org/10.14445/22315373/IJMTT-V67I7P517

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 7 | Year 2021 | Article Id. IJMTT-V67I7P517 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I7P517

Teleparallel Killing Vectors of Non-Static Spherically Symmetric Space-Times

Mushtaq Ahmed, Muhammad Ilyas

Abstract

Killing symmetry equations in both coordinate formalism and tetrad formalism form a system of coupled partial differential equations and require decoupling before integration. This discourse discovers the method of minimum partial differentiation and applies it to decouple teleparallel Killing equations for a non-static spherically symmetric space-time involving functions R (t ) and (r ) . This method together with the method of separation of variables helps to decouple the basic system of teleparallel Killing equations and integrate. It finds that the function R (t ) remains arbitrary for teleparallel Killing vectors where as for the function (r ) there arise two cases. For one case the function (r ) ln r and for other it is not. It shows eight teleparallel Killing vector fields for the first case and seven teleparallel Killing vector fields for the second.

Keywords

Torsion fields, Teleparallel Killing vector fields, Weitzenbock connection, Method of minimum partial differentiation

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Citation :

Mushtaq Ahmed, Muhammad Ilyas, "Teleparallel Killing Vectors of Non-Static Spherically Symmetric Space-Times," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 7, pp. 141-149, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I7P517