A note on classification of teleparallel conformal symmetries in non-static plane symmetric space-times in the teleparallel theory of gravitation using diagonal tetrads

Ghulam Shabbir; Alamgeer Khan; M. Amer Qureshi; A. H. Kara

doi:10.1142/S0219887816500468

A note on classification of teleparallel conformal symmetries in non-static plane symmetric space-times in the teleparallel theory of gravitation using diagonal tetrads

Ghulam Shabbir
, Alamgeer Khan
, M. Amer Qureshi
, A. H. Kara

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

In this paper, we explore teleparallel conformal vector fields in non-static plane symmetric space-times in the teleparallel theory of gravitation using the direct integration technique and diagonal tetrads. This study will also cover the static plane symmetric space-times as well. In the teleparallel theory curvature of the non-static plane symmetric space-times is zero and the presence of torsion allows more symmetries. In this study after solving the integrabilty conditions it turns out that the dimension of teleparallel conformal vector fields are 5, 6, 7 or 8.

Original language	English
Article number	1650046
Journal	International Journal of Geometric Methods in Modern Physics
Volume	13
Issue number	4
DOIs	https://doi.org/10.1142/S0219887816500468
State	Published - 1 Apr 2016
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2016 World Scientific Publishing Company.

Keywords

Teleparallel conformal symmetries
Weitzenböck geometry
diagonal tetrads
direct integration technique
torsion

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1142/S0219887816500468

Cite this

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abstract = "In this paper, we explore teleparallel conformal vector fields in non-static plane symmetric space-times in the teleparallel theory of gravitation using the direct integration technique and diagonal tetrads. This study will also cover the static plane symmetric space-times as well. In the teleparallel theory curvature of the non-static plane symmetric space-times is zero and the presence of torsion allows more symmetries. In this study after solving the integrabilty conditions it turns out that the dimension of teleparallel conformal vector fields are 5, 6, 7 or 8.",

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A note on classification of teleparallel conformal symmetries in non-static plane symmetric space-times in the teleparallel theory of gravitation using diagonal tetrads. / Shabbir, Ghulam; Khan, Alamgeer; Qureshi, M. Amer et al.
In: International Journal of Geometric Methods in Modern Physics, Vol. 13, No. 4, 1650046, 01.04.2016.

Research output: Contribution to journal › Article › peer-review

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AU - Kara, A. H.

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KW - Weitzenböck geometry

KW - diagonal tetrads

KW - direct integration technique

KW - torsion

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A note on classification of teleparallel conformal symmetries in non-static plane symmetric space-times in the teleparallel theory of gravitation using diagonal tetrads

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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