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

Delgado, Jorge F.M.  (Departamento de Física da Universidade de Aveiro, Center for Research and Development in Mathematics and Applications, CIDMA, Campus de Santiago, Aveiro, 3810-183, Portugal) ; Herdeiro, Carlos A.R. (Centro de Astrofísica e Gravitação, CENTRA, Departamento de Física, Instituto Superior Técnico, IST, Universidade de Lisboa – UL, Avenida Rovisco Pais 1, Lisboa, 1049-001, Portugal) ; Radu, Eugen (Departamento de Física da Universidade de Aveiro, Center for Research and Development in Mathematics and Applications, CIDMA, Campus de Santiago, Aveiro, 3810-183, Portugal)

09 April 2019

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.


Published in: Physics letters B 792 (2019) 436-444
Published by: Elsevier
DOI: 10.1016/j.physletb.2019.04.009
License: CC-BY-3.0



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