Improved filters for gravitational waves from inspiraling compact binaries
Abstract
The order of the post-Newtonian expansion needed to extract in a reliable and accurate manner the fully general relativistic gravitational wave signal from inspiraling compact binaries is explored. A class of approximate wave forms, called P-approximants, is constructed based on the following two inputs: (a) the introduction of two new energy-type and flux-type functions e(v) and f(v), respectively, (b) the systematic use of the Padé approximation for constructing successive approximants of e(v) and f(v). The new P-approximants are not only more effectual (larger overlaps) and more faithful (smaller biases) than the standard Taylor approximants, but also converge faster and monotonically. The presently available (v/c)5-accurate post-Newtonian results can be used to construct P-approximate wave forms that provide overlaps with the exact wave form larger than 96.5%, implying that more than 90% of potential events can be detected with the aid of P-approximants as opposed to a mere 10-15 % that would be detectable using standard post-Newtonian approximants.
- Publication:
-
Physical Review D
- Pub Date:
- January 1998
- DOI:
- 10.1103/PhysRevD.57.885
- arXiv:
- arXiv:gr-qc/9708034
- Bibcode:
- 1998PhRvD..57..885D
- Keywords:
-
- 04.30.Db;
- 04.25.Nx;
- 04.80.Nn;
- 95.55.Ym;
- Wave generation and sources;
- Post-Newtonian approximation;
- perturbation theory;
- related approximations;
- Gravitational wave detectors and experiments;
- Gravitational radiation detectors;
- mass spectrometers;
- and other instrumentation and techniques;
- General Relativity and Quantum Cosmology
- E-Print:
- Latex ([prd,aps,eqsecnum,epsf]{revtex}), 40 pages including 12 encapsulated figures. (The paper, together with all the figures and tables is available from ftp://carina.astro.cf.ac.uk/pub/incoming/sathya/dis97.uu)