Integrable scalar cosmologies with matter and curvature

Davide Fermi; Massimo Gengo; Livio Pizzocchero

doi:10.1016/j.nuclphysb.2020.115095

paper

Integrable scalar cosmologies with matter and curvature

arXiv:2001.03228 · doi:10.1016/j.nuclphysb.2020.115095

Abstract

We show that several integrable (i.e., exactly solvable) scalar cosmologies considered by Fré, Sagnotti and Sorin (Nuclear Physics \textbf{B 877}(3) (2013), 1028--1106) can be generalized to include cases where the spatial curvature is not zero and, besides a scalar field, matter or radiation are present with an equation of state $p^{(m)} = w ρ^{(m)}$ ; depending on the specific form of the self-interaction potential for the field, the constant $w$ can be arbitrary or must be fixed suitably.

83 pages, 31 figures. In comparison with version v1, the exposition of the results has been polished and some references have been added