Rapidly rotating neutron stars in $$f(R,T)=R+2 \lambda T$$ gravity

Abstract In this work, we study the influence of f ( R , T ) gravity on rapidly rotating neutron stars. First discuss main aspects modified theory where gravitational Lagrangian is an arbitrary function Ricci scalar and trace energy–momentum tensor . Then present basic equations for stars including state used in work to describe hadronic matter. Some physical quantities interest are calculated such as mass–radius relations, moments inertia, angular momentum, compactness. By considering four different rotation regimes, obtain results that indicate substantial modifications properties when compared those context general relativity. particular, relation sequences indicates increases mass equatorial radius with velocity smaller than Kepler limit.