

Gravitational radiation drives an instability in the r-modes
of rotating stars. This instability is strong enough to
cause the amplitude of these modes to grow on a timescale of
tens of seconds in rapidly rotating neutron stars.
Gravitational radiation emitted by these modes removes
angular momentum from the star, causing it to spin down to a
relatively small angular velocity on a timescale thought to
be about one year. I will discuss at a pedagogical level the
mechanism of gravitational radiation instability in rotating
stars, the r-modes, and our present understanding of the
competing dissipation mechanisms in neutron stars. I will
also discuss the astrophysical implications of this
mechanism for young neutron stars, and for older systems
such as low mass x-ray binaries. Our current understanding
of the prospects for directly detecting the gravitational
radiation emitted during a spindown event will also be
discussed.
[H1.002] Computing the Complete Gravitational Wavetrain from Relativistic Binary Inspiral
Stuart L. Shapiro (University of Illinois at Urbana-Champaign)
We present a new method for generating the nonlinear
gravitational wavetrain from the late inspiral
(pre-coalescence) phase of a binary neutron star system by
means of a numerical evolution calculation in general
relativity. In a prototype calculation, we produce 214 wave
cycles from corotating polytropes, representing the final
part of the inspiral phase prior to reaching the ISCO. Our
method is based on the inequality that the orbital decay
timescale due to gravitational radiation is much longer than
an orbital period and the approximation that gravitational
radiation has little effect on the structure of the stars.
We employ quasi-equilibrium (QE) sequences of binaries in
circular orbit for the matter source in our field evolution
code. We compute the gravity-wave energy flux, and, from
this, the inspiral rate, at a discrete set of binary
separations. Using these data, we construct the
gravitational waveform as a continuous wavetrain. We
conclude that the QE scheme provides a promising technique
for constructing the complete wavetrain from binary inspiral
outside the ISCO, where the fields are strong but where
following the system for more than a few orbits by direct
numerical integration of the exact equations is prohibitive.
We discuss the limitations of our current calculation,
planned improvements, and potential applications of our QE
method to other inspiral scenarios. A video highlighting key
features of our calculation will be shown.
[H1.003] Gravitational Radiation and Equations of Motion: Post-Newtonian Methods
Clifford M. Will (Washington University, St. Louis)
The completion of a network of advanced
laser-interferometric gravitational-wave observatories
around 2001 will make possible the study of the inspiral and
coalescence of binary systems of compact objects (neutron
stars and black holes), using gravitational radiation. To
extract useful information from the waves, theoretical
general relativistic gravitational waveforms will be used as
templates, cross-correlated against the detector outputs.
The templates must be extremely accurate, probably as
accurate as O[(v/c)^6] beyond the predictions of the
simple quadrupole formula. This presents a major challenge
to theorists. We summarize a new method for calculating
gravitational radiation to high order in v/c, in which
Einstein's equations are recast as a flat spacetime wave
equation with matter source and gravitational
non-linearities extending to infinity. The method is free of
divergences and properly yields non-linear effects, such as
``tails''. We report on progress in evaluating equations of
motion to third post-Newtonian order, and in obtaining
radiation reaction effects of spinning bodies.
[H1.004] Gravitational radiation reaction in strong fields
Eric Poisson (University of Guelph)
Solar-mass compact objects in orbital motion around massive
black holes emit low-frequency gravitational waves that can
be measured by a space-based interferometric detector such
as LISA (Laser Interferometer Space Antenna). The detailed
modeling of these sources, to the extent that templates
could be provided for data analysis, requires a detailed
computation of the motion over a very large number of
orbital cycles. This, in turn, requires a detailed
understanding of radiation-reaction effects in strong
gravitational fields. I will review some of the recent work
on this topic, starting with the foundational aspects and
concluding with concrete applications.
[H1.005] Separating Gravitational-Wave Signals from Detector Noise
Patrick Brady (University of Wisconsin, Milwaukee)