A Grassmann representation of the Hubble parameter

Abstract

The Riccati equation for the Hubble parameter H of barotropic FRW cosmologies in conformal time for κ\neq 0 spatial geometries and in comoving time for the κ=0 geometry, respectively, is generalized to odd Grassmannian time parameters. We obtain a system of simple differential equations for the four supercomponents (two of even type and two of odd type) of the Hubble superfield function {\cal H} that is explicitly solved. The second even Hubble component does not have an evolution governed by general relativity although there are effects of the latter upon it

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