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Radiative Gravitational Fields in General Relativity I. General Structure of the Field outside the Source

Blanchet, L. and Damour, T. (1986) Radiative Gravitational Fields in General Relativity I. General Structure of the Field outside the Source. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 320 (1555). pp. 379-430. ISSN 1364-503X . http://resolver.caltech.edu/CaltechAUTHORS:20150128-075747432

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Abstract

We present a well-defined formal framework, together with appropriate mathematical tools, which allow us to implement in a constructive way, and to investigate in full mathematical details, the Bonnor-Thorne approach to gravitational radiation theory. We show how to construct, within this framework, the general radiative (formal) solution of the Einstein vacuum equations, in harmonic coordinates, which is both past-stationary and past-asymptotically Minkowskian. We investigate the structure of the latter general radiative metric (including all tails and nonlinear effects) both in the near zone and in the far zone. As a side result it is proven that post-Newtonian expansions must be done by using the gauge functions (lg c)^p/c^n (p, n = positive integers).


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1098/rsta.1986.0125DOIArticle
http://rsta.royalsocietypublishing.org/content/320/1555/379PublisherArticle
http://www.jstor.org/stable/37878JSTORArticle
Additional Information:© 1986 The Royal Society. Communicated by B. Carter, F.R.S. Received 8 July 1985. Published 3 December 1986. It is a pleasure to acknowledge clarifying discussions with J. Ehlers and B. Schmidt at an early state of this work. The authors thank K. S. Thorne for numerous fruitful discussions. Many useful discussions with the members of the Caltech Paradigm Society are gratefully acknowledged. T. D. thanks B. Simon for an informative discussion. The authors thank K. S. Thorne for his kind invitations to visit the Theoretical Astrophysics group at Caltech, and for financial support which made these visits possible. This work was supported in part by the C.N.R.S., the 'Ecole Polytechnique', the 'Fondation de France', the 'Ministere des Relations Extfrieures ',and by the National Science Foundation under grant no. AST 82-14126.
Funders:
Funding AgencyGrant Number
Centre National de la Recherche Scientifique (CNRS)UNSPECIFIED
Ecole Polytechnique UNSPECIFIED
Fondation de FranceUNSPECIFIED
Ministere des Relations ExtfrieuresUNSPECIFIED
NSFAST 82-14126
Record Number:CaltechAUTHORS:20150128-075747432
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20150128-075747432
Official Citation:Radiative Gravitational Fields in General Relativity I. General Structure of the Field outside the Source L. Blanchet, T. Damour Phil. Trans. R. Soc. Lond. A:1986320 379-430;DOI: 10.1098/rsta.1986.0125.Published 3 December 1986
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:54162
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:28 Jan 2015 16:50
Last Modified:28 Jan 2015 16:50

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