Approximate gravitational field equations

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Approximation, Astrophysics, Field Theory (Physics), Gravitational Fields, Cosmology, Equations, Gravitation Theory, Gravitational Waves

Scientific paper

Two useful ways of approximating the exact gravitational field equations are described. In the first, the gravitational potential is arbitrary and the spatial components of the covector field are small; in the second, the gravitational potential is small and the spatial components of the covector field are arbitrary. A canonical stress-momentum is defined which is often easier to use than the symmetric stress-momentum of earlier papers. Applications of the formalism to gravitational radiation, the post-Newtonian theory, and cosmology are outlined.

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