Constraints on dark energy and cosmic topology

TL;DR

This paper discusses how detecting the universe's spatial topology via circles-in-the-sky can provide constraints on dark energy parameters, linking cosmic topology observations with dark energy models.

Contribution

It introduces a method to use potential topology detection to constrain dark energy equation of state parameters in homogeneous universes.

Findings

Constraints on dark energy parameters derived from topology detection

Method applicable to universes with no assumptions on cosmological parameters

Potential for observational tests of cosmic topology and dark energy

Abstract

A non-trivial spatial topology of the Universe is a potentially observable attribute, which can be probed through the circles-in-the-sky for all locally homogeneous and isotropic universes with no assumptions on the cosmological parameters. We show how one can use a possible circles-in-the-sky detection of the spatial topology of globally homogeneous universes to set constraints on the dark energy equation of state parameters.