Cosmological applications of Myrzakulov gravity

Understand

We investigate the cosmological applications of Myrzakulov $F(R,T)$ gravity.

• In this theory ones uses a specific but non-special connection, and thus both curvature and torsion are dynamical fields related to gravity.
• We introduce a parametrization that quantifies the deviation of curvature and torsion scalars form their corresponding values obtained using the special Levi-Civita and Weitzenb{\"{o}}ck connections, and we extract the cosmological field equations following the mini-super-space procedure.
• Even for the simple case where the action of the theory is linear in $R$ and $T$, we find that the Friedmann equations contain new terms of geometrical origin, reflecting the non-special connection.