학술논문
Classification of non-conformally flat static plane symmetric perfect fluid solutions via proper conformal vector fields in f(T) gravity.
Document Type
Article
Source
Subject
*VECTOR fields
*EINSTEIN field equations
*GRAVITY
*SPACETIME
*
*
*
Language
ISSN
0219-8878
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 f (T) gravity. For this purpose, first we explore some SPS perfect fluid solutions of the Einstein field equations (EFEs) in f (T) 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 f (T) gravity is four, five or six. [ABSTRACT FROM AUTHOR]