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Convergent and asymptotic iteration methods in General Relativity

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Abstract

We show that the fast motion iteration method in General Relativity gives an asymptotic approximation to exact solutions of the reduced Einstein equations. Rigorous estimates of the error commited at each step of the iteration are derived.

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Authors and Affiliations

  1. Max-Planck-Institut für Physik und Astrophysik, D-8000, München 40, FRG

    D. Christodoulou & B. G. Schmidt

Authors
  1. D. Christodoulou
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  2. B. G. Schmidt
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Communicated by R. Geroch

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Christodoulou, D., Schmidt, B.G. Convergent and asymptotic iteration methods in General Relativity. Commun.Math. Phys. 68, 275–289 (1979). https://doi.org/10.1007/BF01221128

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  • DOI: https://doi.org/10.1007/BF01221128

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