Schwarzschild scalar wigs: spectral analysis and late time behavior
arXiv:1312.5808 · doi:10.1103/PhysRevD.89.083006
Abstract
Using the Green's function representation technique, the late time behavior of localized scalar field distributions on Schwarzschild spacetimes is studied. Assuming arbitrary initial data we perform a spectral analysis, computing the amplitude of each excited quasi-bound mode without the necessity of performing dynamical evolutions. The resulting superposition of modes is compared with a traditional numerical evolution with excellent agreement; therefore, we have an efficient way to determine final black hole wigs. The astrophysical relevance of the quasi-bound modes is discussed in the context of scalar field dark matter models and the axiverse.
20 pages, 13 figures, 2 tables. Accepted for publication in Phys. Rev. D
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