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

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

2005-05-02

arxiv.org/abs/gr-qc/0505007v1

Phys.Rev.Lett. 95 (2005) 061101

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.95.061101

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 $\alpha=M_W/M_Pl$ ($M_W$ resp. $M_Pl$ 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).

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