An Improved Template Space for Gravitational Ringing of Black Holes(Astrophysics and Relativity)

概要

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A black hole has characteristic quasi-normal modes that are excited when it is formed or when the geometry is perturbed. The state of a black hole when the quasi-normal modes are excited is called 'gravitational ringing', and detections of it constitute a direct confirmation of the existence of black holes. To detect it, a method based on matched filtering needs to be developed. Generically, matched filtering requires a large number of templates, because one has to ensure the proper match of a real gravitational wave with one of template waveforms to keep the detection efficiency as high as possible. On the other hand, the number of templates must be kept as small as possible due to limits in computational capability. In a previous paper, assuming that the gravitational ringing is dominated by the least-damped (fundamental) mode with the smallest imaginary part of the frequency, we constructed an efficient method for tiling the template space. However, the dependence of the template space metric on the initial phase of the wave was not taken into account. This dependence arises because of an unavoidable mismatch between the parameters of the signal waveform and those given discretely in the template space. In this paper, we properly take this dependence into account and present an improved, efficient search method for the gravitational ringing of black holes.
理論物理学刊行会の論文
2004-06-25