INFLATION IN F(R, T) GRAVITATION WITH f-ESSENCE
Ключевые слова:
Universe, accelerated expansion, inflation, cosmology, f-essence, slow-roll parameter, Friedmann- Robertson-Walker metric, F(R, T)-gravity.Аннотация
Modified theories of gravity have become a kind of paradigm in modern physics because they seem to
solve several shortcomings of the standard General Theory of Relativity (GTR) related to cosmology, astrophysics
and quantum field theory. The most famous modified theories of gravity are F(R) and F(T) theories of gravity. A
generalization of these two modified theories and gravitations, which was first proposed by Myrzakulov Ratbay. In
this paper, we study an inhomogeneous isotropic cosmological model with a fermion field f-essence whose action
has the form where R is the scalar of curvature, and T is the torsion scalar, and
Lm is the Lagrangian f-essence. A particular case is studied in detail when parameters are
obtained that describe the current accelerated expansion of the Universe. The type of Lagrangian f-essence of this
model is determined. The presented results show that gravity with f-essence can describe inflation in the early
evolution of the Universe. A modified F(R, T) gravity with f-essence is considered. Equations of motion were
obtained and the inflationary period of the early Universe was considered. To describe the inflationary period, the
form of the Hubble parameter and the slow-roll parameter were determined.
