Wormhole Cosmic Censorship

TL;DR

This paper investigates a Kerr-like wormhole supported by phantom matter, showing that its naked ring singularity is unreachable, leading to a conjecture that wormhole throats can protect against naked singularities, similar to cosmic censorship.

Contribution

It introduces a new conjecture that wormhole throats can shield naked singularities, extending the cosmic censorship idea to wormhole geometries.

Findings

Naked ring singularity is unreachable from outside.

Wormhole throat may protect against naked singularities.

Supports a conjecture analogous to cosmic censorship.

Abstract

We analyze the properties of a Kerr-like wormhole supported by phantom matter, which is an exact solution of the Einstein-phantom field equations. It is shown that the solution has a naked ring singularity which is unreachable to null geodesics falling freely from the outside. Similarly to Roger Penrose's cosmic censorship, that states that all naked singularities in the Universe must be protected by event horizons, here we conjecture from our results that a naked singularity can also be fully protected by the intrinsic properties of a wormhole's throat.