Unconventional gravitational excitation of a Schwarzschild black hole

2003/01/31 by P T Leung, P. T. Leung, Alec Maassen van den Brink +4 · 2 citations
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Charged black hole #Gravitation #Gravitational wave #Primordial black hole #Pulsars and Gravitational Waves Research #Quadrupole #Schwarzschild metric #Schwarzschild radius #gr-qc #math-ph #math.MP

paper · pdf · doi:10.1088/0264-9381/20/16/101

published as Class.Quant.Grav. 20 (2003) L217-3532 · 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

arxiv created 2003/03/24 · openalex publication_date 2003/08/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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 Ω=-4i. This reveals a pair of unconventional damped modes very near Ω, confirmed analytically.

Citations

• Wave propagation in gravitational systems: Completeness of quasinormal modes
• Late-Time Tail of Wave Propagation on Curved Spacetime
• The quasi-normal modes of the Schwarzschild black hole
• Stability of a Schwarzschild Singularity

Cited by

• Branch cut and quasinormal modes at large imaginary frequency in Schwarzschild space-time
• Modes of the Kerr geometry with purely imaginary frequencies