Particle-like Platonic Solutions in Scalar Gravity
نویسندگان
چکیده
We construct globally regular gravitating solutions, which possess only discrete symmetries. These solutions of Yang-Mills-dilaton theory may be viewed as exact (numerical) solutions of scalar gravity, by considering the dilaton as a kind of scalar graviton, or as approximate solutions of Einstein-Yang-Mills theory. We focus on platonic solutions with cubic symmetry, related to a rational map of degree N = 4. We present the first two solutions of the cubic N = 4 sequence, and expect this sequence to converge to an extremal Reissner-Nordström solution with magnetic charge P = 4.
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