Static Einstein-Maxwell Magnetic Solitons and Black Holes in an Odd Dimensional AdS Spacetime

TL;DR

This paper constructs new static Einstein-Maxwell solutions with magnetic fields in odd-dimensional AdS spacetimes, revealing black holes with non-trivial magnetic properties and solitonic limits, expanding understanding of gravitational and electromagnetic configurations in higher dimensions.

Contribution

It introduces a novel class of static Einstein-Maxwell solutions in odd-dimensional AdS spacetime with magnetic fields, including black holes with zero-horizon limits and solitonic deformations.

Findings

Solutions possess an extra magnetic parameter at infinity.

Some black holes have a zero-horizon size limit, acting as solitons.

The solutions extend the landscape of known Einstein-Maxwell configurations in higher dimensions.

Abstract

We construct a new class of Einstein-Maxwell static solutions with a magnetic field in $D$-dimensions (with $D\geq 5$ an odd number), approaching at infinity a globally Anti-de Sitter (AdS) spacetime. In addition to the mass, the new solutions possess an extra-parameter associated with a non-zero magnitude of the magnetic potential at infinity. Some of the black holes possess a non-trivial zero-horizon size limit, which corresponds to a solitonic deformation of the AdS background.