Talk detail

Participant	Mónico Delgado, Jorge Filipe
Institution	Universidade de Aveiro - Campus Universitário de Santiago - Portugal - Aveiro - Portugal

Session	BH2	Accepted		Order	Time
Talk	Oral abstract	Title	Horizon Geometry For Kerr Black Holes With Synchronised Hair
Coauthors
Abstract	We study the horizon geometry of Kerr black holes (BHs) with scalar synchronised hair, a family of solutions of the Einstein-Klein-Gordon system that continuously connects to vacuum Kerr BHs. We identify the region in parameter space wherein a global isometric embedding in Euclidean 3-space is possible for the horizon geometry of the hairy BHs. For the Kerr case, such embedding is possible if and only if the horizon dimensionless spin, j_H, the sphericity, s, and the horizon linear velocity, v_H, are smaller than critical values, j_H^(S), s^(S), v_H^(S), respectively. For the hairy BHs, we find that j_H < j^(S) is a sufficient, but not necessary, condition for being embeddable; v_H > v_H^(S) is a necessary, but not sufficient, condition for being embeddable; whereas s < s^(S) is a necessary and sufficient condition for being embeddable. Thus the latter quantity provides the most faithful diagnosis for the existence of an embedding in Euclidean 3-space within the whole family of solutions.
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