Five-Dimensional Eguchi-Hanson Solitons in Einstein-Gauss-Bonnet Gravity

TL;DR

This paper constructs five-dimensional Eguchi-Hanson soliton solutions within Einstein-Gauss-Bonnet gravity, extending known geometries to higher dimensions with potential implications for AdS/CFT correspondence.

Contribution

It introduces new five-dimensional Eguchi-Hanson soliton solutions in Einstein-Gauss-Bonnet gravity, generalizing previous four-dimensional models.

Findings

Found explicit soliton solutions in 5D Lovelock gravity.

Extended Eguchi-Hanson geometries to higher dimensions.

Analyzed asymptotic behavior related to AdS spacetime.

Abstract

Eguchi-Hanson solitons are odd-dimensional generalizations of the four-dimensional Eguchi-Hanson metric and are asymptotic to AdS$_5$\mathbb{Z}_p$ when the cosmological constant is either positive or negative. We find soliton solutions to Lovelock gravity in 5 dimensions that are generalizations of these objects.