Isolated systems in general relativity

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Gravitational Fields, Relativistic Theory, Relativity, Approximation, Asymptotic Methods, Einstein Equations, Equations Of Motion, Gravitation Theory, Mathematical Models

Scientific paper

Some problems regarding the relativistic theory of isolated systems are described. The description of bodies as a whole and the derivation of their overall laws of motion are considered along with the asymptotics of gravitational fields near various parts of infinity. Attention is given to the connection between near-zone and asymptotic energy-momentum balances, and to the meanings of the following terms: asymptotically flat, physically reasonable T(ab), and condition for absence of incident radiation. In addition, an improved version of a weak-field, slow-motion approximation method for constructing relativistic models of isolated systems containing more than one body is outlined.

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