Magnetic black universes and wormholes with a phantom scalar

TL;DR

This paper presents new explicit solutions in general relativity featuring phantom scalar fields that describe traversable wormholes and regular black holes, including black universes with diverse horizon structures.

Contribution

It introduces a variety of new regular black hole and wormhole solutions with phantom scalar fields, expanding the known configurations and potential cosmological models.

Findings

Solutions include black universes with expanding interiors

Configurations contain up to four Killing horizons

Diverse structures of regular black holes are demonstrated

Abstract

We construct explicit examples of globally regular static, spherically symmetric solutions in general relativity with scalar and electromagnetic fields which describe traversable wormholes (with flat and AdS asymptotics) and regular black holes, in particular, black universes. A black universe is a nonsingular black hole where, beyond the horizon, instead of a singularity, there is an expanding, asymptotically isotropic universe. The scalar field in these solutions is phantom (i.e., its kinetic energy is negative), minimally coupled to gravity and has a nonzero self-interaction potential. The configurations obtained are quite diverse and contain different numbers of Killing horizons, from zero to four. This substantially widens the list of known structures of regular black hole configurations. Such models can be of interest both as descriptions of local objects (black holes and wormholes) and as a basis for building nonsingular cosmological scenarios.