English

Unstable even-parity eigenmodes of the regular static SU(2) Yang-Mills-dilaton solutions

General Relativity and Quantum Cosmology 2007-05-23 v1 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

In this paper we obtain unstable even-parity eigenmodes to the static regular spherically symmetric solutions of the SU(2) Yang-Mills-dilaton coupled system of equations in 3+1 Minkowski space-time. The corresponding matrix Sturm-Liouville problem is solved numerically by means of the continuous analogue of Newton's method. The method, being the powerful tool for solving both boundary-value and Sturm-Liouville problems, is described in details.

Cite

@article{arxiv.gr-qc/0408060,
  title  = {Unstable even-parity eigenmodes of the regular static SU(2) Yang-Mills-dilaton solutions},
  author = {O. I. Streltsova and E. E. Donets and E. A. Hayryan and D. A. Georgieva and T. L. Boyadjiev},
  journal= {arXiv preprint arXiv:gr-qc/0408060},
  year   = {2007}
}

Comments

22 pages, 5 figures