Perturbations of global monopoles as a black hole's hair

Details Perturbations of global monopoles as a black hole's hair Perturbations of global monopoles as a black hole's hair

2003-07-16

arxiv.org/abs/gr-qc/0307074v3

JCAP 0402 (2004) 001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 2 figures, some descriptions were improved

Scientific paper

10.1088/1475-7516/2004/02/001

We study the stability of a spherically symmetric black hole with a global monopole hair. Asymptotically the spacetime is flat but has a deficit solid angle which depends on the vacuum expectation value of the scalar field. When the vacuum expectation value is larger than a certain critical value, this spacetime has a cosmological event horizon. We investigate the stability of these solutions against the spherical and polar perturbations and confirm that the global monopole hair is stable in both cases. Although we consider some particular modes in the polar case, our analysis suggests the conservation of the "topological charge" in the presence of the event horizons and violation of black hole no-hair conjecture in asymptotically non-flat spacetime.

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