Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-03-20
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
31 pages, 9 figures
Scientific paper
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.
Breitenlohner Peter
Tchrakian D. H.
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