Instability of gravitating sphalerons
Instability of gravitating sphalerons
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 …