2017
DOI: 10.1103/physics.10.83
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Spinning Black Holes May Grow Hair

Abstract: We study the growth and saturation of the superradiant instability of a complex, massive vector (Proca) field as it extracts energy and angular momentum from a spinning black hole, using numerical solutions of the full Einstein-Proca equations. We concentrate on a rapidly spinning black hole (a ¼ 0.99) and the dominant m ¼ 1 azimuthal mode of the Proca field, with real and imaginary components of the field chosen to yield an axisymmetric stress-energy tensor and, hence, spacetime. We find that in excess of 9% … Show more

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Cited by 2 publications
(3 citation statements)
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“…These BHs circumvent no-Proca hair theorems [21] by virtue of a harmonic time dependence of the bosonic field [19]. The model is free of known pathologies, and the hairy BHs could emerge dynamically via the superradiant instability of Kerr [22], triggered by the bosonic field [23][24][25]. This family of hairy BHs interpolates between the bald Kerr solution and horizonless self-gravitating solitons known as Proca stars (PSs) [26].…”
Section: Introductionmentioning
confidence: 99%
“…These BHs circumvent no-Proca hair theorems [21] by virtue of a harmonic time dependence of the bosonic field [19]. The model is free of known pathologies, and the hairy BHs could emerge dynamically via the superradiant instability of Kerr [22], triggered by the bosonic field [23][24][25]. This family of hairy BHs interpolates between the bald Kerr solution and horizonless self-gravitating solitons known as Proca stars (PSs) [26].…”
Section: Introductionmentioning
confidence: 99%
“…This process is, likely, non-conservative, ejecting some energy and, especially, angular momentum towards infinity; but for particular solutions with a given m, if a neighbouring solution (in terms of global quantities) exists for m + 1, the process could be approximately conservative. In fact, this approximate conservativeness has been observed in the transition from the Kerr BH (which corresponds to m = 0) to the m = 1 hairy solution in [45][46][47]. For this approximately conservative migration to be possible, the higher m neighbouring solution would have to be entropically favoured.…”
mentioning
confidence: 84%
“…These hairy BH solutions have a relation with the physical phenomenon of superradiance [67], from which they can form dynamically from the Kerr solution [45][46][47] -see also [54,57] for a discussion on the metastability of these solutions against superradiance. They also reduce to Kerr BHs and boson stars [68,69], in appropriate limits.…”
Section: Introductionmentioning
confidence: 99%