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ID: 374024.0, MPI für Gravitationsphysik / Geometric Analysis and Gravitation
On the Relations Between Field Equations and Equations of Motion in Newtonian and Einsteinian Gravity
Authors:Ehlers, Jürgen
Date of Publication (YYYY-MM-DD):2008-01
Title of Journal:Acta Physica Polonica B Proceedings Supplement
Volume (in Journal):39
Issue / Number:1
Start Page:123
End Page:131
Name of Conference/Meeting:Conference on Myron Mathisson, his Life, Work and Influence on Current Research
Place of Conference/Meeting:Stefan Banach Int Math Ctr; Univ Warsaw, Inst Theoret Phys; Polish Acad Sci , Warsaw, Poland
(Start) Date of Conference/Meeting
 (YYYY-MM-DD):
2007-10-18
End Date of Conference/Meeting 
 (YYYY-MM-DD):
2007-10-20
Review Status:not specified
Audience:Not Specified
Abstract / Description:A pseudo-field theoretic reformulation of the Newton--Euler dynamics of isolated, gravitating fluids is given. The basic equations of that theory are shown to be regular limits of Einstein's gravitational field equation. It is reviewed how the equations of motion for mass points can be obtained as approximations from those for extended bodies without use of a regularisation to remove infinities. Finally Einstein's (1916--1918) approximation method is revived; its similarity to Newtonian theory suggests the possibility of avoiding infinities also in General Relativity.
External Publication Status:published
Document Type:Conference-Paper
Communicated by:Gerhard Huisken
Affiliations:MPI für Gravitationsphysik/Geometric Analysis and Gravitation
Identifiers:ISSN:1509-5770
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