New Multiply Nutty Spacetimes

TL;DR

This paper introduces new vacuum Einstein solutions with multiple NUT parameters, expanding the variety of known spacetimes with complex topology and potential applications in string theory.

Contribution

It constructs novel solutions with multiple NUT parameters, extending known Einstein metrics and providing a broader class of spacetimes with diverse topologies.

Findings

Solutions describe asymptotically dS, AdS, or flat spacetimes.

Extension of inhomogeneous Einstein metrics on complex line bundles.

Generalization of Eguchi-Hanson solitons.

Abstract

We construct new solutions of the vacuum Einstein field equations with multiple NUT parameters, with and without cosmological constant. These solutions describe spacetimes with non-trivial topology that are asymptotically dS, AdS or flat. We also find the the multiple nut parameter extension of the inhomogeneous Einstein metrics on complex line bundles found recently by Lu, Page and Pope. We also provide a more general form of the Eguchi-Hanson solitons found by Clarkson and Mann. We discuss the global structure of such solutions and possible applications in string theory.