# 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} }

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…

## 122 Citations

$f(T,R)$ 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…

Conformal Invariance in F (R, T) Gravity

- Physics
- 2015

In this paper we consider the equation of motion for the F (R, T ) gravity on their property of conformal invariance. It is shown that in the general case, such a theory is not conformal invariant.…

Analysis of F(R, T) gravity models through energy conditions

- Physics
- 2013

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…

Cosmological aspects of a hyperbolic solution in f(R,T) gravity

- PhysicsAnnals of Physics
- 2019

Abstract This article deals with a cosmological scenario in f ( R , T ) gravity for a flat FLRW model of the universe. We consider the f ( R , T ) function as f ( R ) + f ( T ) which starts with a…

Cosmic transit and anisotropic models in f(R,T) gravity

- Physics
- 2016

Abstract Accelerating cosmological models are constructed in a modified gravity theory dubbed as f ( R, T ) gravity with the backdrop of an anisotropic Bianchi type-III universe. f ( R, T ) is a…

ΛCDM model in f(T) gravity: reconstruction, thermodynamics and stability

- Physics
- 2013

We investigate some cosmological features of the ΛCDM model in the framework of the generalized teleparallel theory of gravity f(T) where T denotes the torsion scalar. Its reconstruction is performed…

A generalized Buchdahl model for compact stars in f(R,T) gravity

- PhysicsPhysics of the Dark Universe
- 2021

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

- PhysicsThe European Physical Journal Plus
- 2021

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…

Full linear perturbations and localization of gravity on f(R, T) brane

- Physics
- 2016

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.

- Physics, MedicineReports on progress in physics. Physical Society
- 2016

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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Analysis of F(R, T) gravity models through energy conditions

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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…

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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…

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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…

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Cosmology of F(T) Gravity and k-Essence

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