Affiliation:
1. Institute of Systems Science Durban University of Technology Durban South Africa
2. Departamento de Matemáticas Universidad Católica del Norte Antofagasta Chile
Abstract
Using the singularity analysis, we investigate the integrability properties and existence of analytic solutions in
‐cosmology. Specifically, for some power‐law
‐theories of particular interest, we apply the ARS algorithm to prove if the field equations possess the Painlevé property. Constraints for the free parameters of the power‐law models are derived, and new analytic solutions are derived, expressed in terms of Laurent expansions.