Interacting dark energy in curved FLRW spacetime from Weyl Integrable Spacetime

TL;DR

This paper explores how a modified gravitational theory using Weyl Integrable Spacetime can naturally produce interacting dark energy models within a curved FLRW universe, providing new insights into cosmic fluid interactions.

Contribution

It introduces a simple modification to Einstein-Hilbert action within Weyl Integrable Spacetime to explain interacting dark energy scenarios in curved cosmology.

Findings

Phenomenological interacting cosmological models emerge naturally.

Dynamical system analysis reveals multiple possible cosmic evolutions.

Weyl Integrable Spacetime offers a viable framework for interacting dark energy.

Abstract

In the present article, we show that a simple modification to the Einstein-Hilbert action can explain the possibility of mutual interaction between the cosmic fluids. That is achieved considering the Weyl Integrable Spacetime in the background of a nonflat Friedmann-Lemna\^{i}tre-Robertson-Walker geometry for the universe. We show that widely-known phenomenological interacting cosmological scenarios can naturally appear in this context. We then performed the dynamical system analysis of the underlying cosmological scenario and explored many possibilities extracted from this gravitational theory.