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Gravitational WavesVolume 1: Theory and Experiments$
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Michele Maggiore

Print publication date: 2007

Print ISBN-13: 9780198570745

Published to Oxford Scholarship Online: January 2008

DOI: 10.1093/acprof:oso/9780198570745.001.0001

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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 04 December 2021

4 Applications

4 Applications

Chapter:
(p.167) 4 Applications
Source:
Gravitational Waves
Author(s):

Michele Maggiore

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198570745.003.0004

This chapter discusses some important applications of the formalism previously developed. It describes the inspiral of compact binaries, and shows how the backreaction caused by GW emission affects the motion of the source and in turn the GW emission itself, leading to the so-called ‘chirp waveform’. The effect of the eccentricity of the orbit on the total radiated power and on its frequency spectrum (Peters-Mathews formula) is calculated. The radiation from rotating and precessing rigid bodies is studied in view of applications to rotating neutron stars. The radial infall of a star into a black hole is then considered; depending on the compactness of the star, this leads to the emission of coherent or incoherent gravitational radiation. Finally, the radiation emitted by accelerated masses is discussed.

Keywords:   inspiraling binaries, chirp waveform, Peters-Mathews formula, rotating neutron stars, black hole, coherent radiation, incoherent radiation, accelerated masses

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