A Study of the Gravitational Wave Form from Pulsars

Authors

S. R. Valluri, The University of Western Ontario
J. J. Drozd, The University of Western Ontario
F. A. Chishtie, The University of Western Ontario
R. G. Biggs, The University of Western Ontario
M. Davison, The University of Western Ontario
Sanjeev V. Dhurandhar, Inter-University Centre for Astronomy and Astrophysics (IUCAA), Ganeshkhind, India
B. S. Sathyaprakash, University of Cardiff, UK

Document Type

Article

Publication Date

4-7-2002

Journal

Classical and Quantum Gravity

Volume

19

Issue

7

First Page

1327

Last Page

1334

URL with Digital Object Identifier

http://dx.doi.org/10.1088/0264-9381/19/7/314

Abstract

We present analytical and numerical studies of the Fourier transform (FT) of the gravitational wave (GW) signal from a pulsar, taking into account the rotation and orbital motion of the Earth. We also briefly discuss the Zak–Gelfand integral transform and a special class of the generalized hypergeometric function of potential relevance. The Zak–Gelfand integral transform that arises in our analytic approach has also been useful for Schrödinger operators in periodic potentials in condensed matter physics (Bloch wavefunctions) and holds promise for the study of periodic GW signals for long integration times.

Notes

An erratum for this article is available at: http://dx.doi.org/10.1088/0264-9381/19/15/501