# $$F(T)$$ gravity and k-essence

@article{Myrzakulov2010FTGA, title={\$\$F(T)\$\$ gravity and k-essence}, author={Ratbay Myrzakulov}, journal={General Relativity and Gravitation}, year={2010}, volume={44}, pages={3059-3080} }

Modified teleparallel gravity theory with the torsion scalar has recently gained a lot of attention as a possible candidate of dark energy. We perform a thorough reconstruction analysis on the so-called $$F(T)$$ models, where $$F(T)$$ is some general function of the torsion term. We derive conditions for the equivalence between of $$F(T)$$ models with purely kinetic k-essence. We present a new class models of $$F(T)$$ gravity and k-essence.

## 87 Citations

### Cosmology of F(T) Gravity and k-Essence

- PhysicsEntropy
- 2012

A thorough reconstruction analysis is performed on the so-called F(T) models, where F( T) is some general function of the torsion term, and deduce the required conditions for the equivalence between of F(t) models with pure kinetic k-essence models.

### $f(T,R)$ theory of gravity

- Physics
- 2018

We mainly focus on the idea that the dynamics of the whole universe may be understood by making use of torsion T and curvature R at the same time. The f(T,R)-gravity can be considered as a…

### Holographic f(T) gravity model

- Physics
- 2014

We try to study the corresponding relation between f(T) gravity and holographic dark energy (HDE). A kind of energy density from f(T) is introduced which has the same role as HDE density. A f(T)…

### Teleparallelism by inhomogeneous dark fluid

- Physics
- 2013

In this paper, we investigate f(T)$f(T)$ cosmology and find an exact solution for f$f$ which gives a Little Rip cosmology. Also, considering accelerating cosmology with dark matter, the…

### Finite-time future singularities models in f(T) gravity

- Mathematics
- 2012

We investigate models of future finite-time singularities in $f(T)$ theory, where $T$ is the torsion scalar. The algebraic function $f(T)$ is put as the teleparallel term $T$ plus an arbitrary…

### Cosmological models with EoS parameters in f(T) theory of gravity

- Physics
- 2020

We have presented cosmological models with equation of state (EoS) parameters in $$f(T)$$ f ( T ) theory of gravity, which is an extension of the teleparallel theory of gravity, where T is the…

### Equation of state for dark energy in $f(T)$ gravity

- Physics
- 2010

We study the cosmological evolutions of the equation of state for dark energy wDE in the exponential and logarithmic as well as their combination f(T) theories. We show that the crossing of the…

### Growth factor in $f(T)$ gravity

- Physics
- 2010

We derive the evolution equation of growth factor for the matter over-dense perturbation in f(T) gravity. For instance, we investigate its behavior in power law model at small redshift and compare it…

### Dark Energy in F(R,T) Gravity

- Physics
- 2012

Since the discovery of cosmic acceleration, modified gravity theories play an important role in the modern cosmology. In particular, the well-known F(R)-theories reached great popularity motivated by…

### Good and bad tetrads in f(T) gravity

- Mathematics
- 2012

We investigate the importance of choosing good tetrads for the study of the field equations of $f(T)$ gravity. It is well known that this theory is not invariant under local Lorentz transformations,…

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A thorough reconstruction analysis is performed on the so-called F(T) models, where F( T) is some general function of the torsion term, and deduce the required conditions for the equivalence between of F(t) models with pure kinetic k-essence models.

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