Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1997-09-29
J.Math.Phys. 39 (1998) 1555-1565
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
14 pages, LateX
Scientific paper
We apply recent results in the theory of PDE, specifically in problems with two different time scales, on Einstein's equations near their Newtonian limit. The results imply a justification to Postnewtonian approximations when initialization procedures to different orders are made on the initial data. We determine up to what order initialization is needed in order to detect the contribution to the quadrupole moment due to the slow motion of a massive body as distinct from initial data contributions to fast solutions and prove that such initialization is compatible with the constraint equations. Using the results mentioned the first Postnewtonian equations and their solutions in terms of Green functions are presented in order to indicate how to proceed in calculations with this approach.
Iriondo Mirta S.
Leguizamon Enzo O.
Reula Oscar A.
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