FRW cosmology in F(R,T) gravity

@article{Myrzakulov2012FRWCI,
  title={FRW cosmology in F(R,T) gravity},
  author={Ratbay Myrzakulov},
  journal={The European Physical Journal C},
  year={2012},
  volume={72},
  pages={1-9}
}
  • R. Myrzakulov
  • Published 28 June 2012
  • Physics
  • The European Physical Journal C
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 such theory. In particular we give the derivation of the model from the geometrical point of view. Then we present the more general form of F(R,T) gravity with two arbitrary functions and give some of its particular cases. In particular, the usual F(R) and F(T) gravity theories are particular cases… 
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In this paper, we study the stellar structure in terms of alternative theory of gravity specially by f (R,T ) gravity theory. Here, we consider the function f (R,T ) = R+2ςT where R is the Ricci
Cosmological evolution in f(T, B) gravity
For the fourth-order teleparallel f (T,B) theory of gravity, we investigate the cosmological evolution for the universe in the case of a spatially flat Friedmann– Lemâıtre–Robertson–Walker background
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We study the thick brane world system constructed in the recently proposed f(R, T) theories of gravity, with R the Ricci scalar and T the trace of the energy-momentum tensor. We try to get the
f(T) teleparallel gravity and cosmology.
TLDR
The role of torsion in gravity has been extensively investigated along the main direction of bringing gravity closer to its gauge formulation and incorporating spin in a geometric description, and various torsional constructions, from teleparallel, to Einstein-Cartan, and metric-affine gauge theories are reviewed.
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References

SHOWING 1-10 OF 195 REFERENCES
Analysis of F(R, T) gravity models through energy conditions
This paper is devoted to study the energy conditions in the F(R, T) gravity for a FRW universe with perfect fluid, where R is the Ricci scalar and T is the torsion scalar. We construct the general
Large-scale Structure in f(T) Gravity
In this work we study the cosmology of the general f(T) gravity theory. We express the modified Einstein equations using covariant quantities, and derive the gauge-invariant perturbation equations in
Dark Energy in F(R,T) Gravity
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
Absence of Relativistic Stars in f(T) Gravity
In this work we investigate the structure of neutron stars in modified f(T) gravity models. We find that, unlike the f(R) models, the equations of motion put a rather strict constraint on the
Birkhoff’s theorem in f(T) gravity
Generalized from the so-called teleparallel gravity, which is exactly equivalent to general relativity, f(T) gravity has been proposed as an alternative gravity model to account for the dark energy
Matter Bounce Cosmology with the f(T) Gravity
We show that the f(T) gravitational paradigm, in which gravity is described by an arbitrary function of the torsion scalar, can provide a mechanism for realizing bouncing cosmologies, thereby
Existence of relativistic stars in f(T) gravity
We examine the existence of relativistic stars in f(T) modified gravity and explicitly construct several classes of static perfect fluid solutions. We derive the conservation equation from the
Cosmology of F(T) Gravity and k-Essence
TLDR
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.
Conformal transformation in f(T) theories
It is well known that f(R) theories are dynamically equivalent to a particular class of scalar-tensor theories. In analogy to the f(R) extension of the Einstein-Hilbert action of general relativity,
Spherically symmetric static spacetimes in vacuum f ( T ) gravity
We show that Schwarzschild geometry remains as a vacuum solution for those four-dimensional $f(T)$ gravitational theories behaving as ultraviolet deformations of general relativity. In the gentler
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