Specially Coupled Dark Energy in the Oscillating FRW Cosmology
A.V. Timoshkin

TL;DR
This paper explores a cosmological model with coupled dark energy and dark matter, revealing scenarios with oscillating universes, finite-time singularities, and static future states through exact solutions of gravitational equations.
Contribution
It introduces a specific coupling form between dark energy and dark matter and provides exact solutions demonstrating oscillating and static universe behaviors.
Findings
Existence of periodic universe solutions.
Presence of finite-time cosmological singularities.
Universe can become static in the distant future.
Abstract
We consider a four-dimensional flat-space Friedman universe, which is filled with two interacting ideal fluids (the coupling of dark energy with dark matter of special form). The gravitational equations of motion are solved. It is shown that in some cases there appears a periodic universe with finite-time cosmological singularities and also the universe becomes static in the remote future.
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