Black Hole Perturbation Theory and Gravitational Wave Data Analysis
One of possible gravitational wave sources for LISA is supermassive black hole-compact object binary systems. Gravitational waves from such systems will allow us to know the space-time structure in the vicinity of the supermassive black hole. Here, in order to extract physical information from gravitational waves, it is necessary not only to prepare precise theoretical waveforms, but also to build up data analysis method.
The inspiral waveforms are tractable using black hole perturbation theory in general relativity. In this perturbation theory, the background space-time is the supermassive black hole, and the compact object is treated as a point particle. As a pure theoretical physics interest, it is very interesting to solve the motion of a particle in black hole space-time accurately that is a big probloem in general relativity for several dozen years. As an aside, using the black hole perturbation theory, we can also treat the last stage of black hole merger, called ringdown. The emitted gravitational waves in this ringdown phase carry the information about the mass and spin of the final black hole.
Adiabatic evolution of the Carter constent
(http://arxiv.org/abs/gr-qc/0511151)
The parameter space of the binary systems is very large. This means that we must prepare vast amounts of theoretical waveforms as templates of the gravitational wave data analysis. Furthermore, LISA will also give us a lot of data. It is necessary to develop effective and fast analysis methods. By simultaneous online analysis of data from gravitational wave detector, it becomes possible to utilize physical information from electromagnetic wave observation of the binary systems to the full extent. The unity observation of "gravitational and electromagnetic wave" will enter new age.
Template spacing
for gravitational ringdown search
(http://arxiv.org/abs/gr-qc/0410037)
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