We show that several integrable (i.e., exactly solvable) scalar cosmologies considered by Fré, Sagnotti and Sorin (Nuclear Physics 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.
Integrable scalar cosmologies with matter and curvature / D. Fermi, M. Gengo, L. Pizzocchero. - In: NUCLEAR PHYSICS. B. - ISSN 0550-3213. - 957(2020 Aug), pp. 115095.1-115095.102. [10.1016/j.nuclphysb.2020.115095]
Integrable scalar cosmologies with matter and curvature
D. FermiPrimo
;M. GengoSecondo
;L. Pizzocchero
Ultimo
2020
Abstract
We show that several integrable (i.e., exactly solvable) scalar cosmologies considered by Fré, Sagnotti and Sorin (Nuclear Physics 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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