• Corpus ID: 119277426

Noether symmetry in $F(T)$ gravity with $f$-essence

  title={Noether symmetry in \$F(T)\$ gravity with \$f\$-essence},
  author={Kairat Myrzakulov and Pyotr Tsyba and Ratbay Myrzakulov},
  journal={arXiv: General Physics},
In $F(T)$ gravity theory, a Friedman-Robertson-Walker cosmological model with $f$-essence where fermion field is non-minimally coupled with the gravitational field is studied. Using the Noether symmetry approach the possible forms of $F(T)$ gravity and the non-canonical fermionic lagrangian $K$ are determined. Cosmological solutions of the condered models describing the accelerated and decelerated periods of the universe are found. 
1 Citations

Bianchi type I string cosmological solutions via Hojman symmetry

In this paper, we find exact string cosmological solutions for Bianchi type I cosmology, by using Hojman symmetry approach. The string cosmology under consideration includes a dilaton field $\psi$



Noether Symmetry Approach for teleparallel-curvature cosmology

We consider curvature-teleparallel $F(R,T)$ gravity, where the gravitational Lagrangian density is given by an arbitrary function of the Ricci scalar $R$ and the torsion scalar $T$. Using the Noether

f(T) cosmology via Noether symmetry

We consider the Noether symmetry approach to find exact cosmological solutions in f(T)-gravity. Instead of taking into account phenomenological models, we apply the Noether symmetry to f(T) gravity.

Noether symmetries and analytical solutions in f(T)-cosmology: A complete study

We investigate the main features of the flat Friedmann-Lemaitre-Robertson-Walker cosmological models in the f(T) teleparallel gravity. In particular, a general approach to find out exact cosmological

Noether Gauge Symmetry of Dirac Field in (2 + 1)-Dimensional Gravity

We consider a gravitational theory including a Dirac field that is nonminimally coupled to gravity in 2 + 1 dimensions. Noether gauge symmetry approach can be used to fix the form of coupling

Energy conditions in generalized teleparallel gravity models

In this paper, we investigate the energy conditions (including null, weak, strong, dominant) in generalized teleparallel gravities including pure $$F(T)$$, teleparallel gravity with non-minimally

Cosmological solutions in F(T) gravity with the presence of spinor fields

The presence of spinor fields is considered in the framework of some extensions of teleparallel gravity, where the Weitzenbock connection is assumed. Some well known models as the Chaplygin gas and

FRW cosmology in F(R,T) gravity

In this paper, we consider a theory of gravity with a metric-dependent torsion namely the F(R,T) gravity, where R is the curvature scalar and T is the torsion scalar. We study the geometric root of

Noether symmetry for non-minimally coupled fermion fields

A cosmological model where a fermion field is non-minimally coupled with the gravitational field is studied. By applying Noether symmetry the possible functions for the potential density of the

Cosmological viability of f(T) models according to Noether symmetries

Noether's theory offers us a useful tool to research the conserved quantities and symmetries of the modified gravity theories, among which the f(T) theory, a generally modified teleparallel gravity,