Dark matter constraints in Myrzakulov F(R,T) gravity: A vielbein approach in Weitzenböck spacetime with observational data

We explore dark matter phenomenology in Myrzakulov $F(R,T)$ gravity, formulated via the vielbein approach in Weitzenböck spacetime. In this torsion-based extension of gravity, dark matter emerges as a geometric effect rather than a particle species, with curvature and torsion contributing dynamically to the field equations.

Using recent data—including SPARC galaxy rotation curves, Planck CMB observations, and weak lensing from DES and KiDS—we constrain the model through MCMC analysis. Our results show that, under specific parameter choices, the theory replicates key cosmological features without introducing additional dark sector matter.

This framework offers a testable alternative to ΛCDM, providing new insight into structure formation, gravitational lensing, and cosmic acceleration—all rooted in the geometry of spacetime.