Liouville's equation in post Newtonian approximation. I. Static solutions

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Methods: Numerical, Stars: General

Scientific paper

The post-Newtonian approximation of the general relativistic Liouville's
equation is presented. Two integrals of motion, generalizations of the
classical energy and angular momentum, are obtained. Polytropic models
are constructed as an application.

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