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arXiv · 1903.01488

Kerr black holes with synchronised scalar hair and higher azimuthal harmonic index

Jorge F. M. Delgado·Carlos A. R. Herdeiro·Eugen Radu
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Abstract

Kerr black holes with synchronised scalar hair and azimuthal harmonic index $m>1$ are constructed and studied. The corresponding domain of existence has a broader frequency range than the fundamental $m=1$ family; moreover, larger ADM masses, $M$ and angular momenta $J$ are allowed. Amongst other salient features, non-uniqueness of solutions for fixed global quantities is observed: solutions with the same $M$ and $J$ co-exist, for consecutive values of $m$, and the ones with larger $m$ are always entropically favoured. Our analysis demonstrates, moreover, the qualitative universality of various features observed for $m=1$ 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.

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Jorge F. M. Delgado, Carlos A. R. Herdeiro, Eugen Radu. 2019-03-04. Kerr black holes with synchronised scalar hair and higher azimuthal harmonic index. https://doi.org/10.1016/j.physletb.2019.04.009

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