$$F(T)$$ 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}
}
  • R. Myrzakulov
  • Published 26 August 2010
  • Physics
  • General Relativity and Gravitation
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. 

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References

SHOWING 1-10 OF 61 REFERENCES

Cosmology of F(T) Gravity and k-Essence

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.

New types of f(T) gravity

Recently f(T) theories based on modifications of teleparallel gravity, where torsion is the geometric object describing gravity instead of curvature, have been proposed to explain the present cosmic

f(R) Theories Of Gravity

Modified gravity theories have received increased attention lately due to combined motivation coming from high-energy physics, cosmology, and astrophysics. Among numerous alternatives to Einstein's

f(R) Theories

Various applications of f(R) theories to cosmology and gravity — such as inflation, dark energy, local gravity constraints, cosmological perturbations, and spherically symmetric solutions in weak and strong gravitational backgrounds are reviewed.

On the ΛCDM Universe in f(G) gravity

In the context of the so-called Gauss–Bonnet gravity, where the gravitational action includes function of the Gauss–Bonnet invariant, we study cosmological solutions, especially the well-known ΛCDM

Cosmological perturbations in f(T) gravity

We investigate the cosmological perturbations in f(T) gravity. Examining the pure gravitational perturbations in the scalar sector using a diagonal vierbein, we extract the corresponding dispersion

INTRODUCTION TO MODIFIED GRAVITY AND GRAVITATIONAL ALTERNATIVE FOR DARK ENERGY

We review various modified gravities considered as gravitational alternative for dark energy. Specifically, we consider the versions of f(R), f(G) or f(R, G) gravity, model with non-linear
...