The far-field of a gravitating source in relation to its interior.

Physics

Scientific paper

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Gravitation:Relativity

Scientific paper

We prove that in the context of the first post-Newtonian perfect fluid theory it is possible to express the far-field metric tensor of an arbitrary perfect-fluid source in terms of parameters, which are known as three-dimensional volume integrals over the source's interior. Such a description for an arbitrary source is not known in the context of the exacty theory of gravity. It seems that the approximate description presented here is the only and the more general one valid consistently to the post-Newtonian approximation.

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