Wormhole solutions with NUT charge in higher curvature theories

TL;DR

This paper explores wormhole solutions with NUT charge in higher curvature theories where a scalar field couples to Gauss-Bonnet and Chern-Simons invariants, mapping their existence and relation to black holes.

Contribution

It introduces new wormhole solutions with NUT charge in higher curvature theories coupled to scalar fields, expanding the understanding of such exotic geometries.

Findings

Existence domain mapped for wormholes with NUT charge

Wormholes connect to scalarized NUT black holes and singular solutions

Characterization of degenerate-throat wormholes

Abstract

We present wormholes with a Newman-Unti-Tamburino (NUT) charge that arise in certain higher curvature theories, where a scalar field is coupled to a higher curvature invariant. For the invariants we employ i) a Gauss-Bonnet term and ii) a Chern-Simons term, which then act as source terms for the scalar field. We map out the domain of existence of wormhole solutions by varying the coupling parameter and the scalar charge for a set of fixed values of the NUT charge. The domain of existence for a given NUT charge is then delimited by the set of scalarized nutty black holes, a set of wormhole solutions with a degenerate throat and a set of singular solutions.