Dark energy and accelerating cosmological evolution from osculating Barthel–Kropina geometry

Finsler geometry is an important extension of Riemann geometry, in which to each point the spacetime manifold arbitrary internal variable associated. Interesting geometries, with many physical applications, are Randers and Kropina type respectively. A subclass geometries represented by osculating spaces, a function base coordinates only. In one introduces Barthel connection, has remarkable property that it Levi-Civita connection Riemannian metric. present work we consider gravitational cosmological implications Barthel-Kropina geometry. We assume this Ricci curvatures related matter energy-momentum tensor standard Einstein equations. The generalized Friedmann equations obtained considering background metric Friedmann-Lemaitre-Robertson-Walker type. energy balance equation also derived. properties model investigated detail, shown admits de Sitter solution, effective dark component can be generated. Several solutions numerically integrating comparison two specific classes models observational data $\Lambda$CDM performed, turns out give satisfactory description observations.