Dark Matter Constraints in Myrzakulov $F(R,T)$ Gravity: A Vielbein Approach in Weitzenb”{o}ck Spacetime with Observational Data

Dark Matter Constraints in Myrzakulov $F(R,T)$ Gravity: A Vielbein Approach in Weitzenb”{o}ck Spacetime with Observational Data
Davood Momeni, Ratbay Myrzakulov
arXiv:2507.21359v1 Announce Type: cross
Abstract: We explore dark matter phenomenology in Myrzakulov $F(R,T)$ gravity, formulated via the vielbein approach in Weitzenb”{o}ck 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 $Lambda$CDM, providing new insight into structure formation, gravitational lensing, and cosmic acceleration — all rooted in the geometry of spacetime.arXiv:2507.21359v1 Announce Type: cross
Abstract: We explore dark matter phenomenology in Myrzakulov $F(R,T)$ gravity, formulated via the vielbein approach in Weitzenb”{o}ck 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 $Lambda$CDM, providing new insight into structure formation, gravitational lensing, and cosmic acceleration — all rooted in the geometry of spacetime.