Finsleroid-cosmological equations

The Hubble constant proves to be the pseudo-Finsleroid-Landsberg factor. The covariantly conserved pseudo-Finsleroid-gravitational tensor is explicitly found after evaluating the respective Finsleroid-case curvature tensor and the required contractions in an attentive way. The resulting equations involve one parameter g of extension which measures the Finslerian deviation of the curvature of the indicatrix of unit vectors. The vector field bi (x) of the axes of the pseudo-Finsleroids is naturally identified as the field of average velocity vectors of matter of the Universe. A consistent (and unique) continuation of the Robertson-Walker metric, and hence the Friedmann metrics, in the Finslerian domain with respect to the parameter g follows. The cosmological pressure and energy density prove to be linear functions of g2, so that the presence of the negative pressure seems to be not necessary to get the agreement with the observed negative nature of deceleration parameter. We clarify the explicit structure of the involved tensorial objects.