Stability of self-gravitating magnetic monopoles

Details Stability of self-gravitating magnetic monopoles Stability of self-gravitating magnetic monopoles

2000-01-25

arxiv.org/abs/gr-qc/0001078v1

Phys.Rev. D62 (2000) 043520

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, RevTex two cols., 11 eps figs. Submitted to Phys. Rev. D

Scientific paper

10.1103/PhysRevD.62.043520

The stability of a spherically symmetric self-gravitating magnetic monopole is examined in the thin wall approximation: modeling the interior false vacuum as a region of de Sitter space; the exterior as an asymptotically flat region of the Reissner-Nordstr\"om geometry; and the boundary separating the two as a charged domain wall. There remains only to determine how the wall gets embedded in these two geometries. In this approximation, the ratio $k$ of the false vacuum to surface energy densities is a measure of the symmetry breaking scale $\eta$. Solutions are characterized by this ratio, the charge on the wall $Q$, and the value of the conserved total energy $M$. We find that for each fixed $k$ and $Q$ up to some critical value, there exists a unique globally static solution, with $M\simeq Q^{3/2}$; any stable radial excitation has $M$ bounded above by $Q$, the value assumed in an extremal Reissner-Nordstr\"om geometry and these are the only solutions with $M

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