Nuttier (A)dS Black Holes in Higher Dimensions

TL;DR

This paper constructs new higher-dimensional solutions to Einstein's equations with cosmological constant, featuring NUT charge and non-trivial topology, expanding the landscape of known asymptotically (A)dS spacetimes with potential implications for string theory.

Contribution

It introduces NUT charged generalizations of topological black holes in higher dimensions, including explicit constructions in 5 and 7 dimensions, and explores their global structure.

Findings

Existence of NUT charged solutions in odd dimensions.

Explicit solutions in 5 and 7 dimensions.

Connections between topology, NUT charge, and cosmological constant.

Abstract

We construct new solutions of the vacuum Einstein field equations with cosmological constant. These solutions describe spacetimes with non-trivial topology that are asymptotically dS, AdS or flat. For a negative cosmological constant these solutions are NUT charged generalizations of the topological black hole solutions in higher dimensions. We also point out the existence of such NUT charged spacetimes in odd dimensions and we explicitly construct such spaces in 5 and 7 dimensions. The existence of such spacetimes with non-trivial topology is closely related to the existence of the cosmological constant. Finally, we discuss the global structure of such solutions and possible applications in string theory.