Spatially Compact Solutions and Stabilization in Einstein-Yang-Mills-Higgs Theories

Péter Forgács and Sébastien Reuillon
Phys. Rev. Lett. 95, 061101 – Published 2 August 2005

Abstract

New solutions to the static, spherically symmetric Einstein-Yang-Mills-Higgs equations with the Higgs field in the triplet (doublet) representation are presented. They form continuous families parametrized by α=MW/MPl [MW (MPl) denoting the W boson (the Planck) mass]. The corresponding spacetimes are regular and have spatially compact sections. A particularly interesting class with the Yang-Mills amplitude being nodeless is exhibited and is shown to be linearly stable with respect to spherically symmetric perturbations. For some solutions with nodes of the Yang-Mills amplitude a new stabilization phenomenon is found, according to which their unstable modes disappear as α increases (for the triplet) or decreases (for the doublet).

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  • Received 29 April 2005

DOI:https://doi.org/10.1103/PhysRevLett.95.061101

©2005 American Physical Society

Authors & Affiliations

Péter Forgács and Sébastien Reuillon

  • Laboratoire de Mathématiques et PhysiqueThéorique, CNRS-UMR 6083, Université de Tours, Parc de Grandmont, 37200 Tours, France

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Issue

Vol. 95, Iss. 6 — 5 August 2005

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