Gravitating BPS Monopoles in all d=4p Spacetime Dimensions
Peter Breitenlohner, D. H. Tchrakian

TL;DR
This paper numerically constructs static gravitating monopole and black hole solutions in higher-dimensional spacetimes using Yang-Mills-Higgs systems with curvature fields of order 2p, extending known 4D results to all 4p dimensions.
Contribution
It introduces a new class of solutions in all 4p-dimensional spacetimes, generalizing 4D Einstein-Yang-Mills-Higgs monopoles and black holes to higher dimensions.
Findings
Constructed regular and black hole solutions numerically
Extended 4D Einstein-YMH results to all 4p dimensions
Demonstrated qualitative similarities across dimensions
Abstract
We have constructed, numerically, both regular and black hole static solutions to the simplest possible gravitating Yang-Mills--Higgs (YMH) in spacetime dimensions. The YMH systems consist of th power curvature fields without a Higgs potential. The gravitational systems consist of the `Ricci scalar' of the 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.
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