DSpace
 

RRI Digital Repository >
07. Theoretical Physics >
Research Papers (TP) >

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/2235

Title: Complete adiabatic waveform templates for a test mass in the Schwarzschild spacetime: VIRGO and advanced LIGO studies
Authors: Ajith, P.
Iyer, B.R.
Robinson, C.A.K.
Sathyaprakash, B.S.
Issue Date: 6-Sep-2005
Publisher: IOP Publishing Ltd.
Citation: Classical and Quantum Gravity, 2005, Vol.22, pS1179-1188
Abstract: Post-Newtonian expansions of the binding energy and gravitational wave flux truncated at the same relative post-Newtonian order form the basis of the standard adiabatic approximation to the phasing of gravitational waves from inspiralling compact binaries. Viewed in terms of the dynamics of the binary, the standard approximation is equivalent to neglecting certain conservative post-Newtonian terms in the acceleration. In an earlier work, we had proposed a new complete adiabatic approximant constructed from the energy and flux functions. At the leading order, it employs the 2PN energy function rather than the 0PN one in the standard approximation, so that, effectively, the approximation corresponds to the dynamics where there are no missing post-Newtonian terms in the acceleration. In this paper, we compare the overlaps of the standard and complete adiabatic templates with the exact waveform in the adiabatic approximation of a test-mass motion in the Schwarzschild spacetime, for the VIRGO and the advanced LIGO noise spectra. It is found that the complete adiabatic approximants lead to a remarkable improvement in the effectualness at lower PN (<3PN) orders, while standard approximants of order ≥3PN provide a good lower bound to the complete approximants for the construction of effectual templates. Faithfulness of complete approximants is better than that of standard approximants except for a few post-Newtonian orders. Standard and complete approximants beyond the adiabatic approximation are also studied using the Lagrangian templates of Buonanno, Chen and Vallisneri.
Description: Restricted Access. An open access version is available at arXiv.org.(one of the alternative locations)
URI: http://hdl.handle.net/2289/2235
ISSN: 0264-9381
1361-6382 (Online)
Alternative Location: http://dx.doi.org/10.1088/0264-9381/22/18/S32
http://arxiv.org/abs/gr-qc/0503124
Copyright: 2005 IOP Publishing Ltd.
Appears in Collections:Research Papers (TP)

Files in This Item:

File Description SizeFormat
2005 CQG 22 pS1179.pdfRestricted Access141.68 kBAdobe PDFView/Open

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

 

    RRI Library DSpace