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

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.

11 pages, no figure, published in Physica Scripta. arXiv admin note: text overlap with arXiv:1210.0001

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• Teleparallel dark energy model with a fermionic field via Noether symmetry
• Scalar-Tensor Teleparallel Gravity With Boundary Term by Noether Symmetries
• Bianchi Type Cosmological Models in $f(T)$ Tele-parallel Gravity
• Late-time-accelerated expansion arisen from gauge fields in an anisotropic background and a fruitful trick for Noether's approach
• A generic dynamical system formulation for Bianchi-I cosmology with isotropic fluid in $f(Q)$ gravity
• Spatially Homogeneous Teleparallel Gravity: Bianchi I
• FRW string cosmological solutions via Hojman symmetry
• Spatially homogeneous teleparallel spacetimes with four-dimensional groups of motions
• Noether symmetry in $F(T)$ gravity with $f$-essence
• Non-minimally coupled scalar field and scaling symmetry in a cosmological background