Continuous Family of Einstein-Yang-Mills Wormholes

TL;DR

This paper demonstrates a continuous family of Einstein-Yang-Mills wormholes that interpolate between instanton and meron solutions, with non-quantized topological charge and a precise gravity-gauge field action cancellation.

Contribution

It introduces a new continuous family of wormhole solutions with unique topological and action properties, expanding the understanding of Einstein-Yang-Mills configurations.

Findings

Existence of a continuous one-parameter family of wormholes

Topological charge is not quantized for these solutions

Gravity's contribution to the action cancels that of the gauge field

Abstract

It is shown that for some particular value of the cosmological constant depending on the gauge coupling constant a continuous one-parameter family of Einstein-Yang-Mills wormholes exists which interpolates between the instanton and the gravitating meron solutions. In contradistinction with the previously known solutions the topological charge of these wormholes is not quantized. For all of them the contribution of gravity to the action exactly cancels that of the gauge field.