New perturbative method for solving the gravitational N-body problem in the general theory of relativity

We present a new approach to describe the dynamics of an isolated, gravitationally bound astronomical \(N\)-body system in the weak field and slow-motion approximation of the general theory of relativity. Celestial bodies are described using an arbitrary energy-momentum tensor and assumed to possess...

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Bibliographic Details
Published in:	arXiv.org
Main Authors:	Turyshev, Slava G, Toth, Viktor T
Format:	Paper
Language:	English
Published:	Ithaca Cornell University Library, arXiv.org 26.03.2015
Subjects:	Celestial bodies Celestial mechanics Coordinate transformations Equations of motion Gravitation theory Gravitational fields Inertial coordinates Inertial reference systems Mathematical analysis Momentum Multipoles Relativism Relativistic effects Relativity Tensors Theory of relativity
ISSN:	2331-8422
Online Access:	Get full text
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