Noether gauge symmetry of modified teleparallel gravity minimally coupled with a canonical scalar field

2012/11/01 by Adnan Aslam, Mubasher Jamil, Davood Momeni +1 · 26 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary value problem #Classical mechanics #Cosmology and Gravitation Theories #Gauge symmetry #Gauge theory #Hamiltonian (control theory) #Homogeneous space #Lagrangian #Mathematical physics #Noether's theorem #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Scalar (mathematics) #Scalar field #Symmetry (geometry) #astro-ph.CO

paper · pdf · doi:10.1139/cjp-2012-0281

published in Canadian Journal of Physics 91(1), 93-97 (NRC Research Press) · Canadian Journal of Physics, 10.1139/cjp-2012-0281

openalex publication_date 2012/11/01 · arxiv created 2012/12/25 · arxiv updated 2013/02/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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(ϕ), and W(ϕ). 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 the Hubble parameter in our model closely matches to that of the ΛCDM model, thus our model is an alternative to the latter.

Citations

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• Interacting entropy-corrected new agegraphic dark energy in Brans–Dicke cosmology
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