Cosmological wormholes

TL;DR

This paper details how Lobachevsky space can be transformed into a cosmological model filled with stable, traversable torus-shaped wormholes, and explores their potential connection to dark matter phenomena.

Contribution

It introduces a method to factorize Lobachevsky space into a wormhole-filled universe with stable, traversable wormholes having torus-shaped throats.

Findings

Wormholes in this model are stable and traversable in a cosmological setting.

Throat sections of the wormholes are shaped as tori.

Potential link between these wormholes and dark matter phenomena.

Abstract

We describe in details the procedure how the Lobachevsky space can be factorized to a space of the constant negative curvature filled with a gas of wormholes. We show that such wormholes have throat sections in the form of tori and are traversable and stable in the cosmological context. The relation of such wormholes to the dark matter phenomenon is briefly described. We also discuss the possibility of the existence of analogous factorizations for all types of homogeneous spaces.