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

被引：11

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

共 13 条

[1] Classification of proper non-static cylindrically symmetric perfect fluid space-times via conformal vector fields in f(R) gravity
Hussain, Fiaz
Shabbir, Ghulam
Malik, Shabeela
Ramzan, Muhammad
Kara, A. H.
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2020, 17 (10)
[2] Classification of static spherically symmetric perfect fluid space-times via conformal vector fields in f(T) gravity
Hussain, Fiaz
Ali, Murtaza
Ramzan, Muhammad
Qazi, Sabiha
COMMUNICATIONS IN THEORETICAL PHYSICS, 2022, 74 (12)
[3] On some non-static plane symmetric perfect fluid solutions in f (R, T) gravity
Mehmood, Abu Bakr
Hussain, Fiaz
Bokhari, Ashfaque H.
Ramzan, Muhammad
Faryad, Muhammad
Hussain, Tahir
RESULTS IN PHYSICS, 2022, 39
[4] Dust static plane symmetric solutions and their conformal vector fields in f (R) theory of gravity
Shabbir, Ghulam
Hussain, Fiaz
Mahomed, F. M.
Ramzan, Muhammad
MODERN PHYSICS LETTERS A, 2018, 33 (37)
[5] Exploring conformal vector fields of Bianchi type-I perfect fluid solutions in f(T) gravity
Qazi, Sabiha
Hussain, Fiaz
Shabbir, Ghulam
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2021, 18 (10)
[6] A NOTE ON PROPER CONFORMAL VECTOR FIELDS OF STATIC SPHERICALLY SYMMETRIC SPACE-TIMES IN f(G) THEORY WITH PERFECT FLUID SOURCE
Hussain, Fiaz
Shabbir, Ghulam
Mahomed, F. M.
Ramzan, Muhammad
ROMANIAN JOURNAL OF PHYSICS, 2020, 65 (7-8):
[7] Classification of vacuum classes of plane fronted gravitational waves via proper conformal vector fields in f(R) gravity
Hussain, Fiaz
Shabbir, Ghulam
Ramzan, Muhammad
Malik, Shabeela
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2019, 16 (10)
[8] Conformal vector fields of static spherically symmetric perfect fluid space-times in modified teleparallel theory of gravity
Malik, Shabeela
Hussain, Fiaz
Shabbir, Ghulam
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2020, 17 (13)
[9] Classification of exact Bianchi type V cosmological solutions via conformal vector fields admitting energy conditions in f (T) gravity
Qazi, Sabiha
Nisar, Kottakkaran Sooppy
Hussain, Fiaz
Ali, Arshad
Muhammad, Taseer
Ramzan, Muhammad
Haq, Sirajul
RESULTS IN PHYSICS, 2023, 52
[10] Noether symmetries for a class of static plane symmetric solutions in f(T) gravity
Ahmad, Mushtaq
Ramzan, Muhammad
Hussain, Fiaz
Malik, Shabeela
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2023, 20 (12)

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