# 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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• GENERAL RELATIVITY AND QUANTUM COSMOLOGY
• HIGH ENERGY PHYSICS - THEORY
• MATHEMATICAL PHYSICS
• MATHEMATICAL PHYSICS