Post-Newtonian approximation of a nonstationary spherically symmetric star in flat space-time theory of gravitation

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Collapse, Gravitation Theory, Stars, Symmetrical Bodies, Energy Conservation, Equations Of Motion, Gravitational Fields

Scientific paper

Starting from a previously studied theory of gravitation in flat space-time the post-Newtonian approximation of the gravitational field of a nonstationary spherically symmetric star is derived. To the post-Newtonian order the equations of motion and the conserved total energy of a collapsing star are given. Birkhoff's theorem holds to this accuracy.

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