Scaling solutions and reconstruction of scalar field potentials

Claudio Rubano; John D. Barrow

doi:10.1103/PhysRevD.64.127301

Scaling solutions and reconstruction of scalar field potentials

Claudio Rubano and John D. Barrow

Phys. Rev. D 64, 127301 – Published 27 November 2001

Abstract

Starting from the hypothesis of scaling solutions, the general exact form of the scalar field potential is found. In the case of two fluids, it turns out to be a negative power of hyperbolic sine. In the case of three fluids the analytic form is not found, but is obtained by quadratures.

Received 11 May 2001

DOI:https://doi.org/10.1103/PhysRevD.64.127301

Authors & Affiliations

Claudio Rubano

Department of Physical Sciences, University Federico II and INFN Sez. di Napoli Complesso Universitario di Monte S. Angelo, via Cintia, Ed. G, I-80126 Napoli, Italy

John D. Barrow