Kerr-Newman scalar clouds
Abstract
Massive complex scalar fields can form bound states around Kerr black holes. These bound states -- dubbed scalar clouds -- are generically non-zero and finite on and outside the horizon; they decay exponentially at spatial infinity, have a real frequency and are specified by a set of integer "quantum" numbers (n,l,m). For a specific set of these numbers, the clouds are only possible along a 1-dimensional subset of the 2-dimensional parameter space of Kerr black holes, called an existence line. In this paper we make a thorough investigation of the scalar clouds due to neutral (charged) scalar fields around Kerr(-Newman) black holes. We present the location of the existence lines for a variety of quantum numbers, their spatial representation and compare analytic approximation formulas in the literature with our exact numerical results, exhibiting a sometimes remarkable agreement.
Cite
@article{arxiv.1409.1593,
title = {Kerr-Newman scalar clouds},
author = {Carolina L. Benone and Luis C. B. Crispino and Carlos Herdeiro and Eugen Radu},
journal= {arXiv preprint arXiv:1409.1593},
year = {2014}
}
Comments
11 pages, 13 figures; v2: improved Fig. 12 and corresponding discussion, added references