Aspects of multimode Kerr ring-down fitting
arXiv:2004.08347 · doi:10.1103/PhysRevD.102.024027
Abstract
A black hole that is ringing down to quiescence emits gravitational radiation of a very specific nature that can inform us of its mass and angular momentum, test the no-hair theorem for black holes, and perhaps even give us additional information about its progenitor system. This paper provides a detailed description of, and investigation into the behavior of, multimode fitting of the ring-down signal provided by numerical simulations. We find that there are at least three well-motivated multimode fitting schemes that can be used. These methods are tested against a specific numerical simulation to allow for comparison to prior work.
31 pages, 48 figures, and 16 tables; added references in introduction; Fixed typos, errors in Eqs. 45-47, updated reference information; Fixed index error in Eq. 12
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