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 ; depending on the specific form of the self-interaction potential for the field, the constant can be arbitrary or must be fixed suitably.
arXiv comment83 pages, 31 figures. In comparison with version v1, the exposition of the results has been polished and some references have been added
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