Constraints on dark energy equation of state parameters from cosmic topology

TL;DR

This paper explores how cosmic topology, specifically the circles-in-the-sky, can be used to constrain dark energy equation of state parameters in homogeneous and isotropic universes.

Contribution

It proposes a method to use observable cosmic topology features to set constraints on dark energy parameters, linking topology detection to cosmological models.

Findings

Cosmic topology can provide constraints on dark energy parameters.

Detection of the universe's topology could inform dark energy models.

The approach connects topology observations with cosmological parameter estimation.

Abstract

Despite our present-day inability to predict the topology of the universe it is expected that we should be able to detect it in the near future. A nontrivial detectable topology of the space section of the universe can be probed for all homogeneous and isotropic universes through the circles-in-the-sky. We discuss briefly how one can use this observable attribute to set constraints on the dark energy equation of state parameters.