Cosmic topology affects dynamics

TL;DR

This paper explores how the global topology of the Universe influences its dynamics, providing both heuristic and relativistic evidence that topology can induce observable effects on cosmic acceleration.

Contribution

It introduces a relativistic spacetime solution demonstrating the impact of topology on cosmic dynamics, advancing understanding beyond Newtonian approximations.

Findings

Topological acceleration effects vary with spatial sections.

Relativistic solutions confirm topology's influence on dynamics.

Heuristic arguments are supported by relativistic models.

Abstract

The role of global topology in the dynamics of the Universe is poorly understood. Along with observational programmes for determining the topology of the Universe, some small theoretical steps have recently been made. Heuristic Newtonian-like arguments suggest a topological acceleration effect that differs for differing spatial sections. A relativistic spacetime solution solution shows that the effect is not just a Newtonian artefact.