Ratbay Myrzakulov

Reconstruction of some cosmological models in f( R, T ) cosmology

In this paper, we reconstruct cosmological models in the framework of f(R,T) gravity, where R is the Ricci scalar and T is the trace of the stress-energy tensor. We show that the dust fluid reproduces ΛCDM, phantom–non-phantom era and phantom cosmology. Further, we reconstruct different cosmological models, including the Chaplygin gas, and scalar field with some specific forms of f(R,T). Our numerical simulation for the Hubble parameter shows good agreement with the BAO observational data for low redshifts, z<2.

Reconstruction of

We demonstrate that there appear finite-time future singularities in

f(T)

f(T)

gravity: Rip cosmology, finite-time future singularities and thermodynamics

gravity with

ΛCDM epoch reconstruction from F(R, G) and modified Gauss–Bonnet gravities

T

Attractor solutions in f(T) cosmology

being the torsion scalar. We reconstruct a model of

Nearly Starobinsky inflation from modified gravity

f(T)

FRW cosmology in F(R,T) gravity

gravity with realizing the finite-time future singularities. In addition, it is explicitly shown that a power-law-type correction term

On the ΛCDM Universe in f(G) gravity

{T}^{\ensuremath{\beta}}

Violation of the First Law of Thermodynamics in f(R,T) Gravity

(