A Note on Classification of Teleparallel Conformal Vector Fields in Cylindrically Symmetric Static Space-Times in the Teleparallel Theory of Gravitation

被引:0
|
作者
Ghulam Shabbir
Alamgeer Khan
Suhail Khan
机构
[1] GIK Institute of Engineering Sciences and Technology,Faculty of Engineering Sciences
关键词
Teleparallel conformal vector fields; Weitzenböck connections; Torsion;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper we explored teleparallel conformal vector fields in cylindrically symmetric static space-times in the teleparallel theory of gravitation by using the direct integration technique. It turns out that the dimension of teleparallel conformal vector fields are 8, 9, 10 or 11. The case VI in which the space-time becomes conformally flat admits eleven independent teleparallel conformal vector fields.
引用
收藏
页码:1182 / 1187
页数:5
相关论文
共 50 条
  • [31] 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
    [J]. ROMANIAN JOURNAL OF PHYSICS, 2020, 65 (7-8):
  • [32] A NOTE ON SELF SIMILAR VECTOR FIELDS IN PLANE SYMMETRIC STATIC SPACE-TIMES
    Shabbir, Ghulam
    Khan, Suhail
    [J]. TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, 2010, 1 (02): : 252 - 256
  • [33] A NOTE ON KILLING VECTOR FIELDS OF BIANCHI TYPE II SPACETIMES IN TELEPARALLEL THEORY OF GRAVITATION
    Shabbir, Ghulam
    Khan, Suhail
    [J]. MODERN PHYSICS LETTERS A, 2010, 25 (20) : 1733 - 1740
  • [34] CLASSIFICATION OF STATIC CYLINDRICALLY SYMMETRICAL SPACE-TIMES
    QADIR, A
    ZIAD, M
    [J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1995, 110 (03): : 277 - 290
  • [35] CYLINDRICALLY SYMMETRIC SPACE-TIMES AND PETROVS CLASSIFICATION
    PATEL, MD
    [J]. CURRENT SCIENCE, 1975, 44 (09): : 301 - 302
  • [36] A NOTE ON SELF-SIMILAR VECTOR FIELDS IN STATIC SPHERICALLY SYMMETRIC SPACE-TIMES
    Shabbir, Ghulam
    Khan, Suhail
    [J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2012, 74 (04): : 177 - 182
  • [37] A note on self-similar vector fields in static spherically symmetric space-times
    Shabbir, Ghulam
    Khan, Suhail
    [J]. UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2012, 74 (04): : 177 - 182
  • [38] Conformal vector fields of static spherically symmetric space-times in f(R, G) gravity
    Hussain, Fiaz
    Shabbir, Ghulam
    Ramzan, M.
    Hussain, S. F.
    Qazi, Sabiha
    [J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2020, 17 (08)
  • [39] Classification of static spherically symmetric perfect fluid space-times via conformal vector fields in f(T) gravity
    Fiaz Hussain
    Murtaza Ali
    Muhammad Ramzan
    Sabiha Qazi
    [J]. Communications in Theoretical Physics, 2022, 74 (12) : 112 - 120
  • [40] A NOTE ON PROPER TELEPARALLEL HOMOTHETIC VECTOR FIELDS IN NON STATIC PLANE SYMMETRIC LORENTZIAN MANIFOLDS
    Shabbir, Ghulam
    Khan, Suhail
    [J]. ROMANIAN JOURNAL OF PHYSICS, 2012, 57 (3-4): : 571 - 581