Particle-like platonic solutions in scalar gravity

Details Particle-like platonic solutions in scalar gravity Particle-like platonic solutions in scalar gravity

2006-01-18

arxiv.org/abs/hep-th/0601124v1

Phys.Lett.B638:367-373,2006

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 10 figures

Scientific paper

10.1016/j.physletb.2006.05.058

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-Nordstrom solution with magnetic charge P=4.

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