SU(3) Einstein-Yang-Mills Sphalerons and Black Holes
Burkhard Kleihaus, Jutta Kunz, Abha Sood
TL;DR
This paper constructs and classifies new SO(3) embedding solutions in the SU(3) Einstein-Yang-Mills system, revealing their instability and extending the understanding of static spherically symmetric solutions and black holes.
Contribution
It introduces the lowest regular SO(3) solutions and black holes in SU(3) Einstein-Yang-Mills theory, previously missing from the literature.
Findings
Constructed the lowest regular SO(3) solutions.
Classified solutions by boundary conditions and node number.
Found all solutions to be unstable.
Abstract
In the SU(3) Einstein-Yang-Mills system sequences of static spherically symmetric regular solutions and black hole solutions exist for both the SU(2) and the SO(3) embedding. We construct the lowest regular solutions of the SO(3) embedding, missed previously, and the corresponding black holes. The SO(3) solutions are classified according to their boundary conditions and the number of nodes of the matter functions. Both, the regular and the black hole solutions are unstable.
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