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Noether gauge symmetry for the Bianchi type I model in f(T) gravity

2013/08/01 by Adnan Aslam, Mubasher Jamil, Ratbay Myrzakulov · 1 citation
Physics and Astronomy · #gr-qc

paper · pdf · doi:10.1088/0031-8949/88/02/025003

published as Phys. Scr. 88 (2013) 025003 · 11 pages, no figure, published in Physica Scripta. arXiv admin note: text overlap with arXiv:1210.0001

arxiv created 2013/08/01 · arxiv updated 2013/08/05

Abstract

In this paper, we present the Noether symmetries of a class of the Bianchi type I anisotropic model in the context of f(T) gravity. By solving the system of equations obtained from the Noether symmetry condition, we obtain the form of f(T) as a teleparallel form. This analysis shows that teleparallel gravity has the maximum number of Noether symmetries. We derive the symmetry generators and show that there are five kinds of symmetries, including time and scale invariance under metric coefficients. We classify the symmetries and we obtain the corresponding invariants.

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