Conservation laws and equations of motion in the field theory of gravitation

Astronomy and Astrophysics – Astronomy

Scientific paper

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Conservation Laws, Gravitational Fields, Particle Motion, Relativistic Theory, Euler-Lagrange Equation, Gas Dynamics, Stellar Winds, Tensors

Scientific paper

The equations of motion of a test particle and a relativistic gas are
derived from the conservation laws incorporating the gravitational-field
energy-momentum tensor. The equations of a stationary stellar wind and
the equations of hydrostatic equilibrium of self-gravitating gas
configurations are obtained in the post-Newtonian approximation.

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