SPACE, TIME AND FUNDAMENTAL INTERACTIONS

The influence of the kinetic scalar of torsion on the cosmological solutions of \(F(T)\) gravity

Fedotov V.V., Chervon S.V.

This work considers power-law inflation within the modified teleparallel gravity with higher-derivative torsion terms of the kind \(F(T, (\nabla T)^2)\). The Hubble parameter is expressed as \(H=m/t\), where \(m>1\). The equations of cosmological dynamics are analyzed for private values of \(\omega (T)\) with the following choice of the function \(F\): \(F= T +\omega (T) \nabla_\mu T\nabla^\mu T\). It is shown that the energy and pressure of the dark sector, arising due to higher derivatives, weaken over large times. At the early stage of the Universe's evolution, they support power-law inflation, and the dependence of the potential \(V(\phi)\) on the scalar field \(\phi\) is justified from a physical point of view.