Scalarized nutty wormholes

TL;DR

This paper constructs and analyzes scalarized wormholes with NUT charge in higher curvature theories, exploring their existence, properties, and the impact of NUT charge and coupling parameters.

Contribution

It introduces new scalarized wormhole solutions with NUT charge in Einstein-scalar-Gauss-Bonnet and Einstein-scalar-Chern-Simons theories, detailing their domain of existence and properties.

Findings

Scalarized wormholes exist with varying NUT charge and coupling parameters.

In Gauss-Bonnet theory, solutions connect to known wormholes as NUT charge vanishes.

Chern-Simons solutions exhibit a divergence in coupling as NUT charge approaches zero.

Abstract

We construct scalarized wormholes with a NUT charge in higher curvature theories. We consider both Einstein-scalar-Gauss-Bonnet and Einstein-scalar-Chern-Simons theories, following a recent paper by Brihaye et al. [1], where spontaneously scalarised Schwarzschild-NUT solutions were studied. By varying the coupling parameter and the scalar charge we determine the domain of existence of the scalarized nutty wormholes, and their dependence on the NUT charge. In the Gauss-Bonnet case the known set of scalarized wormholes [2] is reached in the limit of vanishing NUT charge. In the Chern-Simons case, however, the limit is peculiar, since with vanishing NUT charge the coupling constant diverges. We focus on scalarized nutty wormholes with a single throat and study their properties. All these scalarized nutty wormholes feature a critical polar angle, beyond which closed timelike curves are present.