Non-linear interactions in cosmologies with energy exchange

Abstract

We investigate the case of two interacting fluids in homogeneous and isotropic cosmologies with a non-linear interaction term. The interaction term avoids the unrealistic form generally used in the literature, beginning with Tolman, in which the interaction is zero when the Hubble parameter vanishes. A variety of exact solutions for the scale factor are found and describe a range of new behaviors. We also extend the analysis of possible cosmological solutions with interacting fluids when curvature is taken into consideration. We use an example of energy exchange between radiation and scalar field to alleviate the flatness problem.

arXiv comment15 pages

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• Metastable dark energy models in light of Planck 2018: Alleviating the $H_0$ tension
• Theoretical and observational bounds on some interacting vacuum energy scenarios
• Hint of dark matter-dark energy interaction in DESI DR2 and current cosmological dataset?