Perturbations of global monopoles as a black hole's hair
arXiv:gr-qc/0307074 · doi:10.1088/1475-7516/2004/02/001
Abstract
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.
arXiv comment11 pages, 2 figures, some descriptions were improved
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Cited by in corpus (5)
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- Global monopole solutions in Horava gravity
- Scattering of axial gravitational wave pulses by monopole black holes and QNMs
- Geometrically Regular Black Holes with Hedgehog Scalar Hair