Integrable scalar cosmologies with matter and curvature

18 Feb 2020 · Fermi Davide Univ. di Milano, Gengo Massimo Univ. di Milano, Pizzocchero Livio Univ. di Milano ·

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 $p^{(m)} = w\, \rho^{(m)}$; depending on the specific form of the self-interaction potential for the field, the constant $w$ can be arbitrary or must be fixed suitably.

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Integrable scalar cosmologies with matter and curvature

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