English

Particle-like platonic solutions in scalar gravity

High Energy Physics - Theory 2008-11-26 v1 General Relativity and Quantum Cosmology

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/0601124,
  title  = {Particle-like platonic solutions in scalar gravity},
  author = {Burkhard Kleihaus and Jutta Kunz and Kari Myklevoll},
  journal= {arXiv preprint arXiv:hep-th/0601124},
  year   = {2008}
}

Comments

10 pages, 10 figures

R2 v1 2026-07-22T15:34:23.491Z