The Jungle Universe: coupled cosmological models in a Lotka–Volterra framework

Abstract : In this paper, we exploit the fact that the dynamics of homogeneous and isotropic Friedmann-Lemaitre universes is a special case of generalized Lotka-Volterra system where the competitive species are the barotropic fluids filling the Universe. Without coupling between those fluids, Lotka-Volterra formulation offers a pedagogical and simple way to interpret usual Friedmann-Lemaitre cosmological dynamics. A natural and physical coupling between cosmological fluids is proposed which preserve the structure of the dynamical equations. Using the standard tools of Lotka-Volterra dynamics, we obtain the general Lyapunov function of the system when one of the fluids is coupled to dark energy. This provides in a rigorous form a generic asymptotic behavior for cosmic expansion in presence of coupled species, beyond the standard de Sitter, Einstein-de Sitter and Milne cosmologies. Finally, we conjecture that chaos can appear for at least four interacting fluids.
Complete list of metadatas

https://hal-ensta-paris.archives-ouvertes.fr//hal-00968772
Contributor : Aurélien Arnoux <>
Submitted on : Tuesday, April 1, 2014 - 3:09:34 PM
Last modification on : Wednesday, July 3, 2019 - 10:48:04 AM

Links full text

Identifiers

Collections

Citation

Jérôme Perez, André Füzfa, Timoteo Carletti, Laurence Mélot, Laurent Guedezounme. The Jungle Universe: coupled cosmological models in a Lotka–Volterra framework. General Relativity and Gravitation, Springer Verlag, 2014, 46, pp.1753. ⟨10.1007/s10714-014-1753-8⟩. ⟨hal-00968772⟩

Share

Metrics

Record views

327