Painlevé Analysis of the Cosmological Field Equations in Weyl Integrable Spacetime

Abstract

We apply a singularity analysis to investigate the integrability properties of the gravitational field equations in Weyl Integrable Spacetime for a spatially flat Friedmann–Lemaître–Robertson–Walker background spacetime induced by an ideal gas. We find that the field equations possess the Painlevé property in the presence of the cosmological constant, and the analytic solution is given by a left Laurent expansion.

Keywords

• Cosmology
• Scalar field
• Integrability