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Ergo-spheres, ergo-tori and ergo-Saturns for Kerr black holes with scalar hair

2014/06/04 by Carlos Herdeiro, Herdeiro, Carlos, Eugen Radu +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Astrophysical Phenomena and Observations

paper · pdf · doi:10.48550/arxiv.1406.1225

Abstract

We have recently reported (arXiv:1403.2757) the existence of Kerr black holes with scalar hair in General Relativity minimally coupled to a massive, complex scalar field. These solutions interpolate between boson stars and Kerr black holes. The latter have a well known topologically S2 ergo-surface (ergo-sphere) whereas the former develop a S1*S1 ergo-surface (ergo-torus) in a region of parameter space. We show that hairy black holes always have an ergo-region, and that this region is delimited by either an ergo-sphere or an ergo-Saturn -- i.e. a S2⊕ (S1*S1) ergo-surface. In the phase space of solutions, the ergo-torus can either appear disconnected from the ergo-sphere or pinch off from it. We provide a heuristic argument, based on a measure of the size of the ergo-region, that superradiant instabilities - which are likely to be present - are weaker for hairy black holes than for Kerr black holes with the same global charges. We observe that Saturn-like, and even more remarkable ergo-surfaces, should also arise for other rotating `hairy' black holes.

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