Cosmological tests of the osculating Barthel–Kropina dark energy model

Abstract We further investigate the dark energy model based on Finsler geometry inspired osculating Barthel–Kropina cosmology. The cosmological approach is introduction of a Barthel connection in an geometry, with having property that it Levi-Civita Riemannian metric. From generalized Friedmann equations model, obtained by assuming background metric Friedmann–Lemaitre–Robertson–Walker type, effective geometric component can be generated, effective, type pressure, satisfying linear barotropic equation state. tests, and comparisons observational data this are considered detail. To constrain parameters, parameter state, we use 57 Hubble points, Pantheon Supernovae Type Ia sample. st statistical analysis performed using Markov Chain Monte Carlo (MCMC) simulations. A detailed comparison standard $$\Lambda $$ ? CDM also performed, Akaike information criterion (AIC), Bayesian (BIC) used as two selection tools. statefinder diagnostics consisting jerk snap Om ( z ) for comparative study cosmologies. Our results indicate gives good description data, thus viable alternative model.