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gr-qc2009★ 6 cited
Existence of families of spacetimes with a Newtonian limit
Todd A. Oliynyk, Bernd Schmidt
Jürgen Ehlers developed \emph{frame theory} to better understand the relationship between general relativity and Newtonian gravity. Frame theory contains a parameter , which can…
gr-qc2008★ 18 cited
Post-Newtonian expansions for perfect fluids
Todd A. Oliynyk
We prove the existence of a large class of dynamical solutions to the Einstein-Euler equations that have a first post-Newtonian expansion. The results here are based on the ellipti…