Templates for stellar mass black holes falling into supermassive black holes

B. S. Sathyaprakash, B. F. Schutz

Research output: Contribution to journalArticle

12 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)S209-S218
JournalClassical and Quantum Gravity
Volume20
Issue number10
DOIs
StatePublished - May 21 2003
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

Fingerprint Dive into the research topics of 'Templates for stellar mass black holes falling into supermassive black holes'. Together they form a unique fingerprint.

  • Cite this