Resonance and absorption spectra of the Schwarzschild black hole for massive scalar perturbations: a complex angular momentum analysis

Abstract

We reexamine some aspects of scattering by a Schwarzschild black hole in the framework of complex angular momentum techniques. More precisely, we consider, for massive scalar perturbations, the high-energy behavior of the resonance spectrum and of the absorption cross section by emphasizing analytically the role of the mass. This is achieved (i) by deriving asymptotic expansions for the Regge poles of the $S$-matrix and then for the associated weakly damped quasinormal frequencies and (ii) by taking into account the analytic structure of the greybody factors which allows us to extract by resummation the physical information encoded in the absorption cross section.

v2: Minor changes to match the published version. v3: Typos corrected

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Cited by in corpus (32)

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• Spherical null geodesics of rotating Kerr black holes
• Resonance spectrum of near-extremal Kerr black holes in the eikonal limit
• Dirac quasinormal modes in spherically symmetric regular black holes
• Scattering by a draining bathtub vortex
• Regge pole description of scattering of scalar and electromagnetic waves by a Schwarzschild black hole
• Lower bound on the radii of black-hole photonspheres
• The extreme orbital period in scalar hairy kerr black holes
• Regge pole description of scattering of gravitational waves by a Schwarzschild black hole
• Black-hole perturbation theory: The asymptotic spectrum of the prolate spin-weighted spheroidal harmonics
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• The existence of null circular geodesics outside extremal spherically symmetric asymptotically flat hairy black holes
• Upper bound on the radii of regular ultra-compact star photonspheres
• Resonant excitation of black holes by massive bosonic fields and giant ringings
• Upper bounds on the compactness at the innermost light ring of anisotropic horizonless spheres
• Absorption cross section of regular black holes in scalar-tensor conformal gravity
• Scattering and conversion of electromagnetic and gravitational waves by Reissner-Nordström black holes: The Regge pole description
• Quasibound states of the Dirac field in Schwarzschild and Reissner-Nordström black hole backgrounds
• Generic spherically symmetric thin-shell wormholes with equilibrium throat at the innermost photonsphere are unstable
• Scalar wave scattering from Schwarzschild black holes in modified gravity
• Quasinormal modes for integer and half-integer spins within the large angular momentum limit
• Nonperturbative Formulation of Resonances in Quantum Mechanics Based on Exact WKB Method
• Exact WKB method for radial Schrödinger equation
• Asymptotic quasinormal frequencies of different spin fields in $d$-dimensional spherically-symmetric black holes
• Quasinormal mode frequencies of Kerr black holes from Regge trajectories