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

Abstract

We construct a new class of Einstein-Maxwell static solutions with a magnetic field in $D$-dimensions (with $D\ge 5$ 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.

15 pages, 4 figures, invited paper for the "Entropy" special issue "Black Hole Thermodynamics II", editor David Kubiznak

References in corpus (4)

• Charged Rotating Black Holes in Odd Dimensions
• Higher dimensional rotating black holes in Einstein-Maxwell theory with negative cosmological constant
• Classical Yang-Mills black hole hair in anti-de Sitter space
• Charged rotating black holes in Einstein--Maxwell--Chern-Simons theory with a negative cosmological constant

Cited by in corpus (3)

• Non-singular spacetimes with a negative cosmological constant: IV. Stationary black hole solutions with matter fields
• Einstein-Maxwell-Chern-Simons Black Holes
• Radially Excited AdS${}_5$ Black Holes in Einstein--Maxwell--Chern--Simons Theory