A novel family of rotating black hole mimickers

TL;DR

This paper introduces a new family of rotating black hole mimickers derived from a meta-geometry, which can model various horizon structures and wormholes, aiding future gravitational wave phenomenology.

Contribution

It constructs a rotating generalization of Simpson and Visser's metric using the Newman--Janis procedure, creating a versatile family of regular geometries as black hole mimickers.

Findings

The metric can represent rotating traversable wormholes.

It describes regular black holes with one or two horizons.

The solutions serve as simple, viable Kerr black hole mimickers.

Abstract

The recent opening of gravitational wave astronomy has shifted the debate about black hole mimickers from a purely theoretical arena to a phenomenological one. In this respect, missing a definitive quantum gravity theory, the possibility to have simple, meta-geometries describing in a compact way alternative phenomenologically viable scenarios is potentially very appealing. A recently proposed metric by Simpson and Visser is exactly an example of such meta-geometry describing, for different values of a single parameter, different non-rotating black hole mimickers. Here, we employ the Newman--Janis procedure to construct a rotating generalisation of such geometry. We obtain a stationary, axially symmetric metric that depends on mass, spin and an additional real parameter $\ell$. According to the value of such parameter, the metric may represent a rotating traversable wormhole, a rotating regular black hole with one or two horizons, or three more limiting cases. By studying the internal and external rich structure of such solutions, we show that the obtained metric describes a family of interesting and simple regular geometries providing viable Kerr black hole mimickers for future phenomenological studies.