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"Chaos and Black Hole Binaries"
We are on the verge of a truly remarkable observational possibility:
the direct detection of black holes, or at least as direct as is
theoretically possible. We won't use our eyes, telescopes, or any
other detector of electromagnetic radiation. Instead, we hope to be
able to observe black holes through gravitational waves. Yet the
dynamics of realistic, astrophysical black hole pairs is surprisingly
not well understood, difficult to solve, and possibly even chaotic. I
will discuss a dynamical systems approach to studying the full range
of orbits available to black hole pairs, including chaotic orbits. An
understanding of the dynamics is crucial to the future success of
gravitational wave observatories. In the meantime, regions of
interesting dynamics could be identified and fed into the new and
powerful simulations of numerical relativity for more detailed
studies.
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