Wormholes and Teleporters

TL;DR

This paper explores dynamic wormholes that can open and close, and models teleportation events, using analytical, numerical, and visualization methods to extend existing static solutions within general relativity.

Contribution

It introduces a dynamic wormhole model capable of opening and closing, and a modified solution representing teleportation, expanding the understanding of topologically nontrivial spacetime solutions.

Findings

Constructed an example of an opening and closing wormhole with galactic black hole dimensions.

Extended static wormhole solutions to dynamic cases with potential teleportation applications.

Demonstrated methods to circumvent topological censorship theorems.

Abstract

In general relativity, there is a class of solutions that currently do not have observed analogues, but on which the theory is shaped, giving an understanding what is fundamentally possible within its framework. Such solutions include wormholes, tunnels that connect distant regions in spacetime. Although not a single wormhole has yet been discovered, there is a large number of works devoted to their study, thanks to which wormholes as a class of solutions become firmly established in modern science. In this paper, we consider two topologically nontrivial types of solutions related to wormholes. First: wormholes that can open and close. In this relation, we will discuss topological censorship theorems, which under certain conditions prohibit changing topology. We will also discuss known ways to circumvent these theorems. Using analytical and numerical methods, as well as visualization, we will construct an example of an opening and closing wormhole with the dimensions of the central black hole in the Milky Way galaxy. Our construction continues the work by Kardashev, Novikov and Shatskiy, in which a static wormhole with the same parameters was considered. The second type is a modification of Visser's dihedral wormhole solution for a dynamic case, which can be considered as a model of a teleportation event.