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

Abstract

New solutions to the static, spherically symmetric Einstein-Yang-Mills-Higgs equations with the Higgs field in the triplet resp. doublet representation are presented. They form continuous families parametrized by $\alpha =M_W/M_{P}l$ ($M_W$ resp. $M_{P}l$ denoting the W-boson resp. 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 $\alpha$ increases (for the triplet) or decreases (for the doublet).

7 pages, 4 figures

References in corpus (2)

• On the linear stability of solitons and hairy black holes with a negative cosmological constant: the even-parity sector
• On the number of instabilities of cosmological solutions in an Einstein-Yang-Mills system

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