Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Possible direct method to determine the radius of a star from the
  spectrum of gravitational wave signals II : Spectra for various cases   We 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 $\Delta\omega$
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.

15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
2
The categories of this paper are: math
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph