Classification of non-conformally flat static plane symmetric perfect fluid solutions via proper conformal vector fields in f(T) gravity

2020/10/06 by Murtaza Ali, Fiaz Hussain, Ghulam Shabbir +3 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Advanced Differential Geometry Research

paper · doi:10.1142/s0219887820502187

Abstract

The aim of this paper is to classify non-conformally flat static plane symmetric (SPS) perfect fluid solutions via proper conformal vector fields (CVFs) in [Formula: see text] gravity. For this purpose, first we explore some SPS perfect fluid solutions of the Einstein field equations (EFEs) in [Formula: see text] gravity. Second, we utilize these solutions to find proper CVFs. In this study, we found 16 cases. A detailed study of each case reveals that in three of these cases, the space-times admit proper CVFs whereas in the rest of the cases, either the space-times become conformally flat or they admit proper homothetic vector fields (HVFs) or Killing vector fields (KVFs). The dimension of CVFs for non-conformally flat space-times in [Formula: see text] gravity is four, five or six.

Citations

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• f(T) teleparallel gravity and cosmology
• A note on classification of spatially homogeneous rotating space-times in f(R) theory of gravity according to their proper conformal vector fields

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