Regular and black-hole solutions of the Einstein-Yang-Mills-Higgs equations; the case of nonminimal coupling

TL;DR

This paper investigates regular and black-hole solutions in Einstein-Yang-Mills-Higgs theory with nonminimal coupling, highlighting differences from minimal coupling and ruling out the existence of traversable wormholes due to negative energy densities.

Contribution

It demonstrates the existence of solutions with nonminimal coupling and analyzes their properties, contrasting them with minimally coupled cases, and proves the non-existence of traversable wormholes.

Findings

Solutions exist with nonminimal coupling

Negative energy densities are possible

Traversable wormholes are ruled out

Abstract

Regular and black-hole solutions of the spontaneously broken Einstein-Yang-Mills-Higgs theory with nonminimal coupling to gravity are shown to exist. The main characteristics of the solutions are presented and differences with respect to the minimally coupled case are studied. Since negative energy densities are found to be possible, traversable wormhole solutions might exist. We prove that they are absent.