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
收藏
页数：11
相关论文
共 50 条
  • [41] A note on proper affine vector fields in non-static plane symmetric space-times
    Shabbir, G.
    GRAVITATION & COSMOLOGY, 2010, 16 (03): : 245 - 250
  • [42] Conformally symmetric wormhole solutions supported by non-commutative geometry in f(Q, T ) gravity
    Chaitra Chooda Chalavadi
    V Venkatesha
    N S Kavya
    S V Divya Rashmi
    Communications in Theoretical Physics, 2024, 76 (02) : 113 - 126
  • [43] Conformally symmetric wormhole solutions supported by non-commutative geometry in f(Q, T) gravity
    Chalavadi, Chaitra Chooda
    Venkatesha, V.
    Kavya, N. S.
    Rashmi, S. V. Divya
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2024, 76 (02)
  • [44] Perfect fluid locally rotationally symmetric Bianchi Type-I spacetimes admitting concircular vector fields in f(T) gravity
    Khan, Suhail
    Shah, Syed Majid
    Ali, Ahmad Tawfik
    Jamal, Sameerah
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2024, 21 (09)
  • [45] CONFORMAL VECTOR FIELDS AND DYNAMICS OF KANTOWSKI SACHS AND BIANCHI TYPE III PERFECT FLUID SPACE-TIMES IN F(R,T) GRAVITY
    Shabbir, Ghulam
    Khan, M. Jamie
    Hussain, Fiaz
    Ramzan, Muhammad
    Bokhari, Ashfaque H.
    ROMANIAN JOURNAL OF PHYSICS, 2021, 66 (5-6):
  • [46] Conformally symmetric wormhole solutions supported by non-commutative geometries in the context of f ( Q, T ) gravity
    Tayde, Moreshwar
    Hassan, Zinnat
    Sahoo, P. K.
    CHINESE JOURNAL OF PHYSICS, 2024, 89 : 195 - 209
  • [47] A classification of Bianchi Type I solutions via conformal vector fields and energy conditions in modified teleparallel gravity
    Malik, Shabeela
    Hussain, Fiaz
    Sui, Taotao
    Ali, Arshad
    Haq, Sirajul
    Ramzan, Muhammad
    RESULTS IN PHYSICS, 2023, 46
  • [48] A note on classification of spatially homogeneous rotating space-times in f(R) theory of gravity according to their proper conformal vector fields
    Shabbir, Ghulam
    Hussain, Fiaz
    Ramzan, Muhammad
    Bokhari, Ashfaque H.
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2019, 16 (07)
  • [49] Noether symmetries of y" = f(z)yn with applications to non-static spherically symmetric perfect fluid solutions
    Soh, CW
    Mahomed, FM
    CLASSICAL AND QUANTUM GRAVITY, 1999, 16 (11) : 3553 - 3566
  • [50] NON-MINIMAL Rβ F2-COUPLED ELECTROMAGNETIC FIELDS TO GRAVITY AND STATIC, SPHERICALLY SYMMETRIC SOLUTIONS
    Dereli, Tekin
    Sert, Ozcan
    MODERN PHYSICS LETTERS A, 2011, 26 (20) : 1487 - 1494
12345