WKB analysis of the Regge-Wheeler equation down in the frequency plane

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dc.creatorBrink, Alec Maassen van den
dc.date2003-03-25
dc.date2003-11-12
dc.date.accessioned2026-07-07T03:27:44Z
dc.date.available2026-07-07T03:27:44Z
dc.descriptionThe Regge-Wheeler equation for black-hole gravitational waves is analyzed for large negative imaginary frequencies, leading to a calculation of the cut strength for waves outgoing to infinity. In the--limited--region of overlap, the results agree well with numerical findings [Class. Quantum Grav._20_, L217 (2003)]. Requiring these waves to be outgoing into the horizon as well subsequently yields an analytic formula for the highly damped Schwarzschild quasinormal modes,_including_ the leading correction. Just as in the WKB quantization of, e.g., the harmonic oscillator, solutions in different regions of space have to be joined through a connection formula, valid near the boundary between them where WKB breaks down. For the oscillator, this boundary is given by the classical turning points; fascinatingly, the connection here involves an expansion around the black-hole singularity r=0.
dc.descriptionREVTeX4, 11pp with one EPS figure. N.B.: 'Alec' is my first, and 'Maassen van den Brink' my family name. v2: discussion and Refs. expanded; overall grooming. v3: added calculation of the highly damped QNMs, incl. the leading correction. v4: a few clarifications and minor corrections; final, to appear in JMP
dc.identifierhttps://arxiv.org/abs/gr-qc/0303095
dc.identifierhttp://arxiv.org/abs/gr-qc/0303095
dc.identifierJ.Math.Phys. 45 (2004) 327
dc.identifierdoi:10.1063/1.1626805
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/34549
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleWKB analysis of the Regge-Wheeler equation down in the frequency plane
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