Conditions of equilibrium of a rotating ideal fluid in the parametrized post-Newtonian formalism

Astronomy and Astrophysics – Astrophysics

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Equilibrium Equations, Gravitation Theory, Hydrodynamics, Ideal Fluids, Relativity, Rotating Fluids, Conservation Laws, Equations Of Motion, Variational Principles

Scientific paper

Conditions of equilibrium of a rotating ideal fluid in parameterized post-Newtonian hydrodynamics are obtained by the variational method. They generalize the analogous equilibrium conditions in the post-Newtonian approximation of the general theory of relativity. A conservation law for the total energy is obtained by integrating the equations of motion.

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