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

被引：12

作者：

Ali, Murtaza ^{[1
]}

Hussain, Fiaz ^{[1
]}

Shabbir, Ghulam ^{[2
]}

Hussain, S. F. ^{[3
]}

Ramzan, Muhammad ^{[1
]}

机构：

[1] Islamia Univ Bahawalpur, Dept Math, Bahawalpur, Pakistan

[2] GIK Inst Engn Sci & Technol, Fac Engn Sci, Swabi, Kpk, Pakistan

[3] GIK Inst Engn Sci & Technol, Fac Comp Sci & Engn, Swabi, Kpk, Pakistan

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2020年 / 17卷 / 14期

关键词：

Proper conformal vector fields in f(T) gravity; algebraic and direct integration techniques; perfect fluid space-times; NOETHER SYMMETRY; SPACE-TIMES; LAMBDA;

D O I：

10.1142/S0219887820502187

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The aim of this paper is to classify non-conformally flat static plane symmetric (SPS) perfect fluid solutions via proper conformal vector fields (CV E's) 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.

引用

页数：11

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