SPACE, TIME AND FUNDAMENTAL INTERACTIONS

QUASI-DE SITTER SOLUTION IN $F(T,(\nabla T)^2)$ TELEPARALLEL GRAVITY

Fedotov V.V., Chervon S.V.

This paper considers the relevance of the quasi-de Sitter solution for the modified $F(T,(\nabla T)^2)$ teleparallel theory of gravity. The Hubble parameter is represented in the form: $H = H_* + \epsilon e^{-Bt}$, where $H_*, B - const$. The cosmological equations of the model with a perfect fluid are written for the following choice of function $F: F = AT^n + \omega(T)\nabla_{\mu}T\nabla^{\mu}T$. The evolution of matter density perturbations in the absence of pressure perturbations is considered.