2013/11/21 by Shahar Hod · 1 citation
Physics and Astronomy · #astro-ph.HE #gr-qc #hep-th
paper · pdf · doi:10.1140/epjc/s10052-013-2378-x
published as The European Physical Journal C 73, 2378 (2013) · 6 pages
arxiv created 2013/11/21 · arxiv updated 2015/06/18
The Klein-Gordon equation for a massive scalar field in the background of a rapidly-rotating Kerr black hole is studied analytically. In particular, we derive a simple formula for the stationary (marginally-stable) resonances of the field in the black-hole spacetime. The analytically derived formula is shown to agree with direct numerical computations of the resonances. Our results provide an upper bound on the instability regime of rapidly-rotating Kerr black holes to massive scalar perturbations.