Kerr black holes with synchronised scalar hair and higher azimuthal harmonic index
arXiv:1903.01488 · doi:10.1016/j.physletb.2019.04.009
Abstract
Kerr black holes with synchronised scalar hair and azimuthal harmonic index are constructed and studied. The corresponding domain of existence has a broader frequency range than the fundamental family; moreover, larger ADM masses, and angular momenta are allowed. Amongst other salient features, non-uniqueness of solutions for fixed global quantities is observed: solutions with the same and co-exist, for consecutive values of , and the ones with larger are always entropically favoured. Our analysis demonstrates, moreover, the qualitative universality of various features observed for solutions, such as the shape of the domain of existence, the typology of ergo-regions, and the horizon geometry, which is studied through its isometric embedding in Euclidean 3-space.
arXiv comment13 pages, 13 figures
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