# Non-minimal Wu-Yang wormhole

## TL;DR

This paper presents exact solutions for a new class of traversable and black Wu-Yang wormholes in a non-minimal Einstein-Yang-Mills model, analyzing their properties and mass-throat relations.

## Contribution

It introduces exact non-minimal Einstein-Yang-Mills wormhole solutions using the Wu-Yang ansatz, distinguishing between regular and black wormholes with detailed properties.

## Key findings

- Regular solutions describe traversable wormholes.
- Black solutions possess one or two event horizons.
- Mass-throat radius relation analyzed.

## Abstract

We discuss exact solutions of three-parameter non-minimal Einstein-Yang-Mills model, which describe the wormholes of a new type. These wormholes are considered to be supported by SU(2)-symmetric Yang-Mills field, non-minimally coupled to gravity, the Wu-Yang ansatz for the gauge field being used. We distinguish between regular solutions, describing traversable non-minimal Wu-Yang wormholes, and black wormholes possessing one or two event horizons. The relation between the asymptotic mass of the regular traversable Wu-Yang wormhole and its throat radius is analysed.