Integrable scalar cosmologies with matter and curvature
General Relativity and Quantum Cosmology
2020-07-03 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We show that several integrable (i.e., exactly solvable) scalar cosmologies considered by Fr\'e, 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 ; depending on the specific form of the self-interaction potential for the field, the constant can be arbitrary or must be fixed suitably.
Keywords
Cite
@article{arxiv.2001.03228,
title = {Integrable scalar cosmologies with matter and curvature},
author = {Davide Fermi and Massimo Gengo and Livio Pizzocchero},
journal= {arXiv preprint arXiv:2001.03228},
year = {2020}
}
Comments
83 pages, 31 figures. In comparison with version v1, the exposition of the results has been polished and some references have been added