Noether Gauge Symmetry of Modified Teleparallel Gravity Minimally Coupled with a Canonical Scalar Field

Abstract

This paper is devoted to the study of Noether gauge symmetries of $f(T)$ gravity minimally coupled with a canonical scalar field. We explicitly determine the unknown functions of the theory $f(T),V(\varphi ),W(\varphi )$. We have shown that there are two invariants for this model, one of which defines the Hamiltonian $H$ under time invariance (energy conservation) and the other is related to scaling invariance. We show that the equation of state parameter in the present model can cross the cosmological constant boundary. The behavior of Hubble parameter in our model closely matches to that of $\Lambda$CDM model, thus our model is an alternative to the later.

arXiv commentCanadian Journal of Physics, 10.1139/cjp-2012-0281

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• Cosmological viable Mimetic $f(R)$ and $f(R,T)$ theories via Noether symmetry
• Scalar-Tensor Teleparallel Wormholes by Noether Symmetries
• Pilgrim Dark Energy in $f(T,T_G)$ cosmology
• Reconstruction of f(T) and f(R) gravity according to (m,n)-type holographic dark energy
• Singularity Problem in Teleparallel Dark Energy Models
• Noether gauge symmetry for the Bianchi type I model in f(T) gravity
• New exact solutions of Bianchi I, Bianchi III and Kantowski-Sachs spacetimes in scalar-coupled gravity theories via Noether gauge symmetries
• Noether gauge symmetry approach in quintom cosmology
• Studying the Intervention of an Unusual Term in $f(T)$ Gravity via Noether Symmetry
• Noether Symmetries of a Modified Model in Teleparallel Gravity and a New Approach for Exact Solutions
• Noether symmetry in the Nash theory of gravity
• Geodesic Congruences and a Collapsing Stellar Distribution in f (T ) Theories
• Noether symmetry in Horndeski Lagrangian
• Noether Symmetry Approach in Eddington-inspired Born-Infeld gravity
• Closed-form solutions of the Wheeler-DeWitt equation in a scalar-vector field cosmological model by Lie symmetries
• Noether symmetry in $F(T)$ gravity with $f$-essence