Possible direct method to determine the radius of a star from the spectrum of gravitational wave signals II : Spectra for various cases

dc.creatorSaijo, Motoyuki
dc.creatorNakamura, Takashi
dc.date2000-12-04
dc.date.accessioned2026-07-07T01:56:50Z
dc.date.available2026-07-07T01:56:50Z
dc.descriptionWe compute the spectrum and the waveform of gravitational waves generated by the inspiral of a disk or a spherical like dust body into a Kerr black hole. We investigate the effect of the radius R of the body on gravitational waves and conclude that the radius is inferred from the gravitational wave signal irrespective of (1) the form of the body (a disk or a spherical star) (2) the location where the shape of the body is determined, (3) the orbital angular momentum of the body, and (4) a black hole rotation. We find that when $R$ is much larger than the characteristic length of the quasinormal mode frequency, the spectrum has several peaks and the separation of the troughs $Δω$ is proportional to $R^{-1}$. Thus, we may directly determine the radius of a star in a coalescing binary black hole - star system from the observed spectrum of gravitational waves. For example, both trough frequency of neutron stars and white dwarfs are within the detectable frequency range of some laser interferometers and resonant type detectors so that this effect can be observed in the future. We therefore conclude that the spectrum of gravitational waves may provide us important signals in gravitational wave astronomy as in optical astronomy.
dc.description13 pages with 26 gif figures, revtex.sty. Accepted for publication in Physical Review D. Combined eps figures are available from http://www2.yukawa.kyoto-u.ac.jp/~saijo/SNprd00/index.html
dc.identifierhttps://arxiv.org/abs/astro-ph/0012061
dc.identifierhttp://arxiv.org/abs/astro-ph/0012061
dc.identifierPhys.Rev. D63 (2001) 064004
dc.identifierdoi:10.1103/PhysRevD.63.064004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/2146
dc.subjectAstrophysics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titlePossible direct method to determine the radius of a star from the spectrum of gravitational wave signals II : Spectra for various cases
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