English

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

R2 v1 2026-07-22T12:34:28.814Z