Kerr-Like Phantom Wormhole

TL;DR

This paper investigates a Kerr-like wormhole supported by phantom matter, featuring a naked ring singularity and an anti-horizon, analyzing its geodesics and tidal forces to assess traversability for humans.

Contribution

It introduces a new Kerr-like wormhole model with phantom matter, analyzing its unique features and traversability conditions, including geodesic behavior and tidal force effects.

Findings

The wormhole has a naked ring singularity and an anti-horizon.

Geodesic analysis shows observers can pass through without issues.

Tidal forces are mild enough for human traversal.

Abstract

In this work we study a Kerr-like wormhole with phantom matter as source. It has three parameters: mass, angular momentum and scalar field charge. This wormhole has a naked ring singularity, other wise it is regular everywhere. The mean feature of this wormhole is that the mouth of the throat lie on a sphere of the same radius as the ring singularity an avoids any observer to see or to reach the singularity, it behaves like an anti-horizon. We analyse the geodesics of the wormhole and find that an observer can go through the geodesics without troubles, but the equator presents an infinity potential barrier which avoids to reach the throat. From an analysis of the Riemann tensor we obtain that the tidal forces permits the wormhole to be traversable for an observer like a human being.