Teleparallel dark energy model with a fermionic field via Noether symmetry

2014/07/31 by Yusuf Kucukakca · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Bilinear interpolation #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Coupling (piping) #Dark energy #Fermionic field #Field (mathematics) #Geometry #Lagrangian #Mathematical physics #Mathematics #Metric (unit) #Noether's theorem #Physics #Quantum field theory #Quantum mechanics #Symmetry (geometry) #Theoretical physics #gr-qc

paper · pdf · doi:10.1140/epjc/s10052-014-3086-x

7 pages, no figure, the version accepted for publication in The European Physical Journal C

arxiv created 2014/09/17 · openalex publication_date 2014/09/29 · arxiv updated 2015/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In the present work, we consider a model with a fermionic field that is non-minimally coupled to gravity in the framework of teleparallel gravity. In order to determine the forms of the coupling and potential function of fermionic field for the considered model, we use the Noether symmetry approach. By applying this approach, for the Friedman–Robertson–Walker metric, we obtain the respective potential and coupling functions as a linear and power-law form of the bilinear Ψ . Furthermore, we search for the exact cosmological solution of the model. It is shown that the fermionic field plays the role of dark energy.

Citations

• f(R) cosmology from Noether’s symmetry
• Absence of Relativistic Stars in f(T) Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Measurements of Ω and Λ from 42 High‐Redshift Supernovae
• f(R)theories of gravity
• Generalized second law of thermodynamics in f(T) gravity
• Generalized Noether symmetry in f(T) gravity
• The cosmological constant and dark energy
• First‐Year Wilkinson Microwave Anisotropy Probe ( WMAP ) Observations: Preliminary Maps and Basic Results
• A single scalar field model of dark energy with equation of state crossing −1
• New general relativity
• First‐Year Wilkinson Microwave Anisotropy Probe ( WMAP ) Observations: Determination of Cosmological Parameters
• The Cosmological Constant
• Dynamics of dark energy
• Cosmological consequences of a rolling homogeneous scalar field
• Scaling attractors in interacting teleparallel dark energy
• The Case for a Positive Cosmological Lambda-term
• Rolling Tachyon

Cited by

• Noether symmetries and boundary terms in extended Teleparallel gravity cosmology