Toward the Alleviation of the H0 Tension in Myrzakulov f(R,T) Gravity

In this work, we provide a promising way to alleviate the Hubble tension within the framework of Myrzakulov f(R,T) gravity. The latter incorporates both curvature and torsion under a non-special connection. We consider the f(R,T)=R+αR2 class, which leads to modified Friedmann equations and an effective dark energy sector. Within this class, we make specific connection choices in order to obtain a Hubble function that coincides with that of ΛCDM at early times while yielding higher H0 values at late times. The reason behind this behavior is that the dark energy equation of state exhibits phantom behavior, which is known to be a sufficient mechanism for alleviating the H0 tension. A full observational comparison with various datasets, including the Cosmic Microwave Background (CMB), is required to test the viability of this scenario. Strictly speaking, the present work does not provide a complete solution to the Hubble tension but rather proposes a promising way to alleviate it.