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arXiv · 2205.01363

New analytic solutions in $f\left( R\right) $-Cosmology from Painlev\'{e} analysis

Genly Leon·A. Paliathanasis·P. G. L. Leach
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Abstract

Using the singularity analysis, we investigate the integrability properties and existence of analytic solutions in $f\left( R\right)$-cosmology. Specifically, for some power-law $f\left( R\right) $-theories of particular interest, we apply the ARS algorithm to prove if the field equations possess the Painlev\'{e} 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.

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Genly Leon, A. Paliathanasis, P. G. L. Leach. 2022-05-03. New analytic solutions in $f\left( R\right) $-Cosmology from Painlev\'{e} analysis. https://doi.org/10.1002/mma.9921

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