Instability of Gravitating Sphalerons

Details Instability of Gravitating Sphalerons Instability of Gravitating Sphalerons

1994-02-28

arxiv.org/abs/gr-qc/9402045v2

Phys.Rev. D50 (1994) 3842-3846

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

replaced mainly due to LaTex problems', 11p, Latex, ZU-TH 7-94

Scientific paper

10.1103/PhysRevD.50.3842

We prove the instability of the gravitating regular sphaleron solutions of the $SU(2)$ Einstein-Yang-Mills-Higgs system with a Higgs doublet, by studying the frequency spectrum of a class of radial perturbations. With the help of a variational principle we show that there exist always unstable modes. Our method has the advantage that no detailed knowledge of the equilibrium solution is required. It does, however, not directly apply to black holes.

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