CONVERGENT AND ASYMPTOTIC ITERATION METHODS IN GENERAL-RELATIVITY

被引：20

作者：

CHRISTODOULOU, D

SCHMIDT, BG

机构：

[1] Max-Planck-Institut für Physik und Astrophysik, München 40

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1979年 / 68卷 / 03期

关键词：

D O I：

10.1007/BF01221128

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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. © 1979 Springer-Verlag.

引用

页码：275 / 289

页数：15

共 12 条

[1]

Adams R. A., 2003, PURE APPL MATH SOB O, V2nd

[2]

BOURBAKI JN, 1966, FOCTIONS VARIABLE RE, pCH4

[3]

CHOQUETBRUHAT Y, 1968, ANN I H POINCARE, V29, P241

[4]

CHOQUETBRUHAT Y, 1952, ACTA MATH, V88, P141

[5]

EHLERS J, 1977, P INT SCH RELATIVIST

[6] EINSTEIN EVOLUTION EQUATIONS AS A FIRST-ORDER QUASILINEAR SYMMETRIC HYPERBOLIC SYSTEM .1. [J].

FISCHER, AE ;

MARSDEN, JE .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1972, 28 (01) :1-&

[7]

Fock V. A., 1964, THEORY SPACE TIME GR

[8] LORENTZ-INVARIANT EQUATIONS OF MOTION OF POINT MASSES IN GENERAL THEORY OF RELATIVITY [J].

HAVAS, P ;

GOLDBERG, JN .

PHYSICAL REVIEW, 1962, 128 (01) :398-&

[9]

Hawking SW., 1973, CAMBRIDGE MONOGRAPHS

[10]

PALAIS R, 1968, F GLOBAL NONLINEAR A

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