Painlev\'e analysis for the cosmological field equations in Weyl Integrable Spacetime
General Relativity and Quantum Cosmology
2022-06-28 v1 Cosmology and Nongalactic Astrophysics
Mathematical Physics
math.MP
Abstract
We apply singularity analysis to investigate the integrability properties of the gravitational field equations in Weyl Integrable Spacetime for a spatially flat Friedmann--Lema\^itre--Robertson--Walker background spacetime induced with an ideal gas. We find that the field equations possess the Painlev\'e property in the presence of the cosmological constant and the analytic solution is given by a left Laurent expansion.
Keywords
Cite
@article{arxiv.2206.12642,
title = {Painlev\'e analysis for the cosmological field equations in Weyl Integrable Spacetime},
author = {Andronikos Paliathanasis},
journal= {arXiv preprint arXiv:2206.12642},
year = {2022}
}
Comments
14 pages, no figures,