Gravitating BPS Monopoles in all d=4p Spacetime Dimensions

Abstract

We have constructed, numerically, both regular and black hole static solutions to the simplest possible gravitating Yang-Mills--Higgs (YMH) in $4p$ spacetime dimensions. The YMH systems consist of $2p-$th power curvature fields without a Higgs potential. The gravitational systems consist of the `Ricci scalar' of the $p-$th power of the Riemann curvature. In 4 spacetime dimensions this is the usual Einstein-YMH (EYMH) studied in \cite{Breitenlohner:1991aa, Breitenlohner:1994di}, whose qualitative results we emulate exactly.

31 pages, 9 figures

References in corpus (4)

• Classical Yang-Mills black hole hair in anti-de Sitter space
• Open M5-branes
• Features of gravity-Yang-Mills hierarchies in d-dimensions
• AdS${}_5$ rotating non-Abelian black holes

Cited by in corpus (3)

• Notes on Yang-Mills--Higgs monopoles and dyons on R^D, and Chern-Simons--Higgs solitons on \R^{D-2}: Dimensional reduction of Chern-Pontryagin densities
• AdS_5 solutions in Einstein--Yang-Mills--Chern-Simons theory
• Solution for Static, Spherically Symmetric Lovelock Gravity Coupled with Yang-Mills Hierarchy