English

Newtonian perturbations and the Einstein-Yang-Mills-dilaton equations

General Relativity and Quantum Cosmology 2008-11-26 v1

Abstract

In this paper we show that problem of proving the existence of a countable number of solutions to the static spherically symmetric SU(2) Einstein-Yang-Mills-dilaton (EYMd) equations can be reduced to proving the non-existence of solutions to the linearized Yang-Mills-dilaton equations (lYMd) satisfying certain asymptotic conditions. The reduction from a non-linear to a linear problem is achieved using a Newtonian perturbation type argument.

Keywords

Cite

@article{arxiv.0810.3732,
  title  = {Newtonian perturbations and the Einstein-Yang-Mills-dilaton equations},
  author = {Todd Oliynyk},
  journal= {arXiv preprint arXiv:0810.3732},
  year   = {2008}
}

Comments

May differ slightly from the published version

R2 v1 2026-06-21T11:33:12.210Z