Other
Scientific paper
Nov 2009
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009gwn.....2....3y&link_type=abstract
GW Notes, Vol. 2, p. 3-47
Other
Data Analysis, Emri, Gravitational Wave Sources, Lisa, Waveforms
Scientific paper
Accurate and efficient models to calculate the gravitational wave response of the proposed Laser Interferometer Space Antenna are crucial for the accurate extraction of physical parameters from noisy data, especially for moderate signal-to-noise ratio events. One of the most challenging and interesting sources of such waves are extreme-mass ratio inspirals, where a small compact object winds into a supermassive black hole in a generic orbit. The interest in these sources stems from their ability to accurately map the spacetime around supermassive black holes, thus revealing otherwise inaccessible astrophysical information and allowing for exquisite tests of general relativity. The difficulty in modelling gravitational waves produced in such inspirals is two-fold. First, extreme-mass ratio orbits are generic, including zoom-whirl episodes where the small object pirouettes in the strong gravitational field of the supermassive black hole at large velocities. Second, gravitat!
ional waves generated by these sources can contain millions of cycles in the detector's sensitivity band, and thus a small error in the modelling can lead to a large accumulated error in the template after a one-year observation. For these reasons, one must develop sophisticated techniques to approximate these waves as accurately and efficiently as possible. This article focuses on these techniques, explaining the difficulty in the modelling and suggesting possible routes to their resolution. We first set the stage through a brief summary of some of the current models available for constructing approximate extreme-mass ratio inspiral templates. We then introduce in detail a new scheme that combines ingredients from both black hole perturbation theory and the effective-one-body approach. We conclude with comparisons between this new scheme and Teukolsky-based waveforms for quasi-circular inspirals into non-spinning supermassive black holes.
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