Classification of static spherically symmetric perfect fluid space-times via conformal vector fields in f(T) gravity. (1st December 2022)

• Record Type: Journal Article
• Authors: Hussain, Fiaz; Ali, Murtaza; Ramzan, Muhammad; Qazi, Sabiha
• Is Part Of: Communications in theoretical physics. Volume 74:Number 12(2022)
• Publication Date: 2022-12-01
• Subjects: spherically symmetric space-times -- conformal vector fields -- f(T) gravity; Physics -- Periodicals; 530.105
• DOI: 10.1088/1572-9494/ac8e51
• Languages: English
• ISSNs: 0253-6102

Abstract

Abstract: In this paper, we classify static spherically symmetric (SS) perfect fluid space-times via conformal vector fields (CVFs) in f ( T ) gravity. For this analysis, we first explore static SS solutions by solving the Einstein field equations in f ( T ) gravity. Secondly, we implement a direct integration technique to classify the resulting solutions. During the classification, there arose 20 cases. Studying each case thoroughly, we came to know that in three cases the space-times under consideration admit proper CVFs in f ( T ) gravity. In one case, the space-time admits proper homothetic vector fields, whereas in the remaining 16 cases either the space-times become conformally flat or they admit Killing vector fields.