A Grassmann representation of the Hubble parameter
General Relativity and Quantum Cosmology
2009-11-07 v6
Abstract
The Riccati equation for the Hubble parameter H of barotropic FRW cosmologies in conformal time for \kappa \neq 0 spatial geometries and in comoving time for the \kappa =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
Cite
@article{arxiv.gr-qc/0109071,
title = {A Grassmann representation of the Hubble parameter},
author = {H. C. Rosu and J. Torres},
journal= {arXiv preprint arXiv:gr-qc/0109071},
year = {2009}
}
Comments
4 pages, no figures