Planar AdS multi-NUT spacetimes and Kaluza-Klein multi-monopoles

TL;DR

This paper constructs explicit higher-dimensional AdS spacetimes with multiple NUT parameters using scalar fields and quadratic-curvature corrections, advancing holographic models and Kaluza-Klein monopoles.

Contribution

It introduces novel methods to build multi-NUT AdS spacetimes, overcoming previous restrictions, and presents planar Kaluza-Klein monopoles with various magnetic charges.

Findings

Constructed multi-NUT AdS spaces with scalar fields.

Built multi-NUT AdS configurations with quadratic-curvature corrections.

Presented planar Kaluza-Klein monopoles with different magnetic charges.

Abstract

In higher-dimensional Einstein-AdS gravity, it is well known that planar and static anti-de Sitter black holes can be endowed with multiple rotation parameters via a large-gauge transformation. However, a similar prescription fails when multiple NUT parameters are added, thereby obstructing the study of holographic properties with more than one NUT charge. To pave the way towards this direction, we construct explicit planar AdS spacetimes having multiple NUT parameters in two simple ways that allow one to circumvent the strong restrictions imposed by the vacuum field equations. First, motivated by momentum relaxation holographic models, we construct multi-NUT spaces in AdS with flat horizons by adding free scalar fields possessing an axionic profile. In our second approach, we build similar configurations in Einstein gravity with quadratic-curvature corrections. As a byproduct, we end by presenting planar versions of the Kaluza-Klein monopole in AdS with different magnetic charges.