Gravitating BPS Monopoles in all d = 4p Spacetime Dimensions

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 [1, 2], whose qualitative results we emulate exactl