**HEAD 2003 Meeting**

*Session 19. Neutrinos, Gravitational Waves and Strong-field Gravity III*

Poster, Sunday-Wednesday, March 23, 2003, Duration of Meeting
[Previous] |
[Session 19] |
[Next]

## [19.01] Listening For Long-Lived Breathing Modes of Compact Objects

*O.W. Day (Department of Physics, East Carolina University), D.W. Pravica (Department of Mathematics, East Carolina University, Greenville, NC USA)*

Lowest-frequency standing-wave solutions for graviton and
photon waves are obtained from the linearized general
relativistic equations [Teukolsky, 1973. ApJ. 185, 635]
which determine the gravitational and electromagnetic fields
in the region immediately surrounding a compact object. The
wave functions, obtained via the complex scaling method for
various angles of rotation in the complex plane (as
described by [W. Hunziker, 1986. Ann. Inst. H. Poincare'
Phys. Theor. 45, 339] and [D. W. Pravica, 1999. Proc. R.
Soc. Lond. A 455, 3003]), are subsequently rotated back to
the real axis to determine the radial distribution of energy
in each respective oscillation. These waves are resonances,
where the electromagnetic oscillations are driven by
oscillations in the metric, which are, in turn, caused by
the source of the gravitational waves. They have finite
lifetimes in the time domain, and are also localized in the
spatial domain, extending from the surface of the compact
object out to a few times 3M in the radial direction. Their
maxima occur at a radial distance slightly larger than 3M in
the case of gravitons but at a distance of 3M in the case of
photons, which in fact causes slightly lower frequencies for
the gravitational than the electromagnetic standing waves.
Similarities and differences are discussed between
compact-object resonance states (obtained from the Zerilli
or Regge-Wheeler potentials in Schrodinger-type equations),
and bound, low-energy hydrogenic wavefunctions (obtained
from the Schrodinger equation for a single electron).
Results obtained for some compact objects of small specific
angular momentum compare well with corresponding
experimentally measured asymptotic QPO frequencies.

[Previous] |
[Session 19] |
[Next]
Bulletin of the American Astronomical Society,
**35**#2

© 2003. The American Astronomical Soceity.