Cosmological Equations for Interacting Energies

Abstract

In this paper the coupling between dark energy and the other components of the cosmological fluid has been studied. Firstly, it will be shown that the application of general cosmological equations, deduced by the authors in a previous work, to the known data of the Abell cluster A586 using the Layzer-Irvine theory gives similar results compared to the work of other authors. The aforesaid method present some problems: the application of an approximate theory (Layzer-Irvine theory), it has only one experimental datum and finally, it gives results that are a bit difficult to admit considering a physical reasoning. In order to avoid the above-mentioned problems, a way to study the coupling of dark energy with other Universe components has been shown. The results obtained have a sensible physical behavior. They also fix the required functionality of the product $w_{\Lambda }{\Omega }_{\Lambda }$ in order to verify the main known properties of the Universe's behavior. Finally, these results permit to make predictions about a set of different cosmological properties.

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