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Gravitational radiation, source behavior, and the method of matched asymptotic expansions

  • Part I. Invited Papers Dedicated To Peter G. Bergmann
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Abstract

It is conjectured that a suitably modified Bondi-type expansion of the gravitational field in the radiation zone is a rapidly convergent series. It is also conjectured that the source behavior in the inner zone is insensitive to the initial conditions imposed on the gravitational field in solving the initial-value problem in this zone. Consequences of these conjectures for the problem of relating source motion to the Bondi news function are discussed.

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References

  1. M. Walker and C. M. Will,Ap. J. 242, L129 (180).

  2. T. Damour, inGravitational Radiation, N. Deruelle and T. Piran, eds. (North-Holland, Amsterdam, 1983);Phys. Rev. Lett. 51, 1019 (1983).

    Google Scholar 

  3. W. Burke,J. Math. Phys. 12, 401 (1970).

    Article  Google Scholar 

  4. P. D. D'Eath,Phys. Rev. D. 11, 1387 (1975);12, 2183 (1975).

    Article  Google Scholar 

  5. R. E. Kates,Phys. Rev. D. 22, 1853, 1871 (1980).

    Article  Google Scholar 

  6. J. L. Anderson,Phys. Rev. Lett. 45, 1745 (1980).

    Article  Google Scholar 

  7. H. Bondi, M. G. J. van der Burg, and A. W. K. Metzner,Proc. R. Soc. London A 269, 21 (1962).

    Google Scholar 

  8. J. M. Bardeen and W. H. Press,J. Math. Phys. 14, 7 (1973).

    Article  Google Scholar 

  9. J. Ehlers, inIsolated Systems in General Relativity, Proceedings of the International School of Physics Enrico Fermi, Course XLVII, J. Ehlers, ed. (Academic Press, New York, 1979); G. Leipold and M. Walker,Ann. Inst. H. Poincaré 27, XX (1977).

    Google Scholar 

  10. M. Walker and C. M. Will,Phys. Rev. D 19, 3495 (1979).

    Article  Google Scholar 

  11. J. L. Anderson,J. Math. Phys. 25, 1947 (1984).

    Article  Google Scholar 

  12. R. A. Isaacson, J. S. Welling, and J. Winicour,J. Math. Phys. 24, 1824 (1983).

    Article  Google Scholar 

  13. J. L. Anderson, R. E. Kates, L. S. Kegeles, and R. G. Madonna,Phys. Rev. D 25, 2038 (1982).

    Article  Google Scholar 

  14. D. R. Brill,Ann. Phys. 7, 466 (1959) C. W. Misner,Phys. Rev. 118, 1110 (1960).

    Article  Google Scholar 

  15. J. L. Anderson and D. Hobill, to be published.

  16. R. Bellman and K. L. Cooke,Differential-Difference Equations (Academic Press, New York, 1963).

    Google Scholar 

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Anderson, J.L. Gravitational radiation, source behavior, and the method of matched asymptotic expansions. Found Phys 15, 411–418 (1985). https://doi.org/10.1007/BF01889277

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  • DOI: https://doi.org/10.1007/BF01889277

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