Classically Integrable Cosmological Models with a Scalar Field
General Relativity and Quantum Cosmology
2009-10-28 v1
Abstract
New classes of classically integrable models in the cosmological theories with a scalar field are obtained by using freedoms of defining time and fields. In particular, some models with the sum of exponential potentials in the flat spatial metric are shown to be integrable. The model with the Sine-Gordon potential can be solved in terms of analytic continuation of the non-periodic Toda field theory.
Cite
@article{arxiv.gr-qc/9508067,
title = {Classically Integrable Cosmological Models with a Scalar Field},
author = {H. Suzuki and E. Takasugi and Y. Takayama},
journal= {arXiv preprint arXiv:gr-qc/9508067},
year = {2009}
}
Comments
10 pages, Latex