Templates for stellar mass black holes falling into supermassive black holes

Sathyaprakash, Bangalore Suryanarayana ORCID: https://orcid.org/0000-0003-3845-7586 and Schutz, Bernard Frederick ORCID: https://orcid.org/0000-0001-9487-6983 2003. Templates for stellar mass black holes falling into supermassive black holes. Classical and Quantum Gravity 20 (10) , S209-S218. 10.1088/0264-9381/20/10/324

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Abstract

The spin-modulated gravitational wave signals, which we shall call smirches, emitted by stellar mass black holes, tumbling and inspiralling into massive black holes, have extremely complicated shapes. Tracking these signals with the aid of pattern matching techniques, such as Wiener filtering, is likely to be computationally an impossible exercise. In this paper we propose using a mixture of optimal and non-optimal methods to create a search hierarchy to ease the computational burden. Furthermore, by employing the method of principal components (also known as singular value decomposition) we explicitly demonstrate that the effective dimensionality of the search parameter space of smirches is likely to be just 3 or 4, much smaller than what has hitherto been thought to be about 9 or 10. This result, based on a limited study of the parameter space, should be confirmed by a more exhaustive study over the parameter space as well as Monte Carlo simulations to test the predictions made in this paper.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Physics and Astronomy
Subjects:	Q Science > QB Astronomy
Publisher:	IOP Publishing
ISSN:	0264-9381
Last Modified:	24 Oct 2022 10:45
URI:	https://orca.cardiff.ac.uk/id/eprint/45786

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