2015
DOI: 10.1088/0264-9381/32/14/144001
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Construction and physical properties of Kerr black holes with scalar hair

Abstract: Kerr black holes with scalar hair are solutions of the Einstein-Klein-Gordon field equations describing regular (on and outside an event horizon), asymptotically flat black holes with scalar hair [1]. These black holes interpolate continuously between the Kerr solution and rotating boson stars in D = 4 spacetime dimensions. Here we provide details on their construction, discussing properties of the ansatz, the field equations, the boundary conditions and the numerical strategy. Then, we present an overview of … Show more

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Cited by 272 publications
(391 citation statements)
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“…The explicit form of the coefficients can be found in [15,21]. Note that the parameters b (in [21]) and c t (in [15]) relate as b ¼ −c t . In the following we shall dub these as spheroidal prolate (SP) coordinates, cf.…”
Section: The Black-hole Backgroundsmentioning
confidence: 99%
See 2 more Smart Citations
“…The explicit form of the coefficients can be found in [15,21]. Note that the parameters b (in [21]) and c t (in [15]) relate as b ¼ −c t . In the following we shall dub these as spheroidal prolate (SP) coordinates, cf.…”
Section: The Black-hole Backgroundsmentioning
confidence: 99%
“…8.33 kpc [36]. The KBHsSH and Kerr solutions that we use are expressed in SP coordinates ðt; r; θ; φÞ, as defined in [15]. In order to relate the SP radial coordinate r expressed in units of M, to a physical distance of 8.33 kpc, we need to fix the mass of Sgr A Ã .…”
Section: Ray-tracing Setup and Shadow Computationsmentioning
confidence: 99%
See 1 more Smart Citation
“…Consequently, in this setup, the bald Kerr BH is unstable and the scalar field (which is not associated with a Gauss law) grows in time outside the BH. This growth could, in principle, approach an equilibrium configuration, in which the BH becomes hairy, because stationary solutions describing Kerr BHs with (this type of) scalar hair have been recently discovered [13][14][15]. So, is the end point of the superradiant instability triggered by a massive scalar field a hairy Kerr BH?…”
Section: Introductionmentioning
confidence: 99%
“…We found that, indeed, the generic final state is a hairy BH: a charged horizon, surrounded by a scalar field condensate storing part of the charge and energy of the initial BH. This condensate's phase oscillates at the threshold frequency of the superradiant instability, thus realizing dynamically charged hairy BHs analogous to Kerr BHs with scalar hair [13][14][15]. The former have recently been constructed as stationary solutions, and a subset was shown to be perturbatively stable [27].…”
Section: Introductionmentioning
confidence: 99%