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  The accuracy of the quadrupole approximation for the gravitational radiation from pulsating stars

Balbinski, E., Schutz, B. F., Detweiler, S., & Lindblom, L. (1985). The accuracy of the quadrupole approximation for the gravitational radiation from pulsating stars. Monthly Notices of the Royal Astronomical Society, 213, 553-561.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-109B-1 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-109E-C
Genre: Journal Article

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61240.pdf (Publisher version), 752KB
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 Creators:
Balbinski, E.1, Author
Schutz, B. F.2, Author              
Detweiler, S.3, Author
Lindblom, L.4, Author
Affiliations:
1External Organizations, University College, Cardiff, Wales, escidoc:persistent22              
2Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, escidoc:24013              
3External Organizations, Florida, University, Gainesville, FL, escidoc:persistent22              
4External Organization, Chicago, University, Chicago, IL, escidoc:persistent22              

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 Abstract: Two methods for computing the damping of the non-radial oscillations of stars due to gravitational radiation emission are compared: (1) solving the complete linearized equations of general relativity and (2) using an approximate method based on the quadrupole formula. It is shown that the results of the fully relativistic calculation approach the results based on the quadrupole formula for sufficiently nonrelativistic stars. The accuracy of the approximation method is investigated by considering polytropic stars with a range of polytropic indices. The approximation is worse for larger polytropic indices, i.e. for greater central condensation. It is concluded that when Newtonian models are used to approximate relativistic ones, models with the same value of GM/(c-squared)R should be compared.

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 Dates: 1985-04
 Publication Status: Published in print
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 Rev. Method: Peer
 Identifiers: eDoc: 61240
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Title: Monthly Notices of the Royal Astronomical Society
Source Genre: Journal
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Publ. Info: Oxford : Blackwell Science
Pages: - Volume / Issue: 213 Sequence Number: - Start / End Page: 553 - 561 Identifier: ISSN: 0035-8711