Gravity and Cosmology with Interacting Dark Energy

TL;DR

This paper explores cosmological models where dark energy interacts with matter, leading to diverse evolution scenarios, including non-singular universes and solutions that address the horizon problem, all within standard general relativity.

Contribution

It introduces a general framework for modeling dark energy--matter interactions with arbitrary functions, analyzing their cosmological implications and exact solutions without modifying gravity.

Findings

Existence of non-singular cosmological solutions.

Dark energy can dominate or be dominated without parameter tuning.

Solutions can address the horizon problem through initial rapid expansion.

Abstract

Dark energy (DE) is not necessarily uniform when other sources of gravity are present: interaction with matter leads to its variation in space and time. We study cosmological implications of this fact by analyzing cosmological models in which DE density interacts with matter and thus changes with time. We model the DE--matter interaction by specifying the rate of change of the DE density as an arbitrary function of it and the density of matter, in a single--phase case. In the case of several matter components interacting with dark energy we assume the rate of every interacting phase density to be an arbitrary function of this density and the DE density. We describe some properties of cosmological solutions valid for a general law of DE--matter interaction, and discuss physical admissibility of the interaction laws. We study numerous families of exact solutions, both singular, non-singular, and mixed. Some of them exhibit interesting properties, such as, for instance, absence of the horizon problem due to the initial fast growth of the scale factor (any power of time possible); non-singular evolution from one de Sitter universe (pure DE with no matter) to the other one with a different DE density; DE dominating either from some moment of time on, or throughout the expansion; dark matter dominating normal matter at large times without any parameter tuning, and so on. All the results are obtained strictly within the framework of general relativity, Einstein's theory of gravity, without modifying it in any way.