Unconventional Gravitational Excitation of a Schwarzschild Black Hole

Abstract

Besides the well-known quasinormal modes, the gravitational spectrum of a Schwarzschild black hole also has a continuum part on the negative imaginary frequency axis. The latter is studied numerically for quadrupole waves. The results show unexpected striking behavior near the algebraically special frequency $\Omega =-4i$. This reveals a pair of unconventional damped modes very near $\Omega$, confirmed analytically.

REVTeX4, 4pp, 6 EPS figure files. N.B.: "Alec" is my first, and "Maassen van den Brink" my family name. v2: better pole placement in Fig. 1. v3: fixed Refs. [9,20]. v4: added context on "area quantum" research; trimmed one Fig.; textual clarifications

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Cited by in corpus (12)

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• Quasinormal modes of Schwarzschild black holes in four and higher dimensions
• Gravitational perturbations of the Kerr geometry: High-accuracy study
• Highly damped quasinormal modes of Kerr black holes
• WKB analysis of the Regge-Wheeler equation down in the frequency plane
• Application of the confluent Heun functions for finding the quasinormal modes of nonrotating black holes
• Modes of the Kerr geometry with purely imaginary frequencies
• Analytic Investigation of the Branch Cut of the Green Function in Schwarzschild Space-time
• Spectroscopy of the Schwarzschild Black Hole at Arbitrary Frequencies
• The Branch Cut and Quasi-normal Modes at Large Imaginary Frequency in Schwarzschild Space-time
• New results for electromagnetic quasinormal and quasibound modes of Kerr black holes
• Complete quasinormal modes of Type-D black holes