Integrable cosmological models in the Einstein and in the Jordan frames and Bianchi-I cosmology
arXiv:1606.04260 · doi:10.1134/S1063779618010173
Abstract
We study integrable models in the Bianchi I metric case with scalar fields minimally and non-minimally coupled with gravity and the correspondence between their general solutions. Using the model with a minimally coupled scalar field and a constant potential as an example, we demonstrate how to obtain the general solutions of the corresponding models in the Jordan frame.
6 pages, v2: minor corrections, references added
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- Variational symmetries and superintegrability in multifield cosmology
- Anisotropic solutions for gravity model with a scalar field
- Scalar-tensor cosmologies in a minisuperspace formulation: a case study
- New Integrable Chiral Cosmological Models with Two Scalar Fields
- Symmetry Analysis In Inflationary Cosmology
- Integrable Cosmological Models with an Arbitrary Number of Scalar Fields
- Eisenhart-Duval lift, Nonlocal Conservation laws and Painlevé Analysis in Scalar field Cosmology