Nariai--Bertotti--Robinson spacetimes as a building material for one-way wormholes with horizons, but without singularity

TL;DR

This paper explores constructing one-way wormholes by gluing Reissner--Nordstr"om universes with Nariai-type segments, creating horizon-crossing structures free of singularities and involving electromagnetic fields and cosmological constants.

Contribution

It introduces a novel method of building one-way wormholes using Nariai--Bertotti--Robinson spacetimes as the connecting material, avoiding singularities and causal paradoxes.

Findings

Wormholes can be constructed by gluing Reissner--Nordstr"om universes with Nariai-type segments.

The proposed wormholes involve crossing horizons, enabling one-way topological communication.

Use of thin shells with properties of Nariai--Bertotti--Robinson spacetimes facilitates the construction.

Abstract

We discuss the problem of wormholes from the viewpoint of gluing together two Reissner--Nordstr\"om-type universes while putting between them a segment of the Nariai-type world (in both cases there are also present electromagnetic fields as well as the cosmological constant). Such a toy wormhole represents an example of one-way topological communication free from causal paradoxes, though involving a travel to next spacetime sheet since one has to cross at least a pair of horizons through which the spacetimes' junction occurs. We also consider the use of thin shells in these constructions. Such a ``material'' for wormholes we choose taking into account specific properties of the Nariai--Bertotti--Robinson spacetimes.