Journal
GENERAL RELATIVITY AND GRAVITATION
Volume 41, Issue 9, Pages 2093-2111Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10714-009-0843-5
Keywords
Frame theory; Newtonian limit; Post-Newtonian expansions
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Jurgen Ehlers developed frame theory to better understand the relationship between general relativity and Newtonian gravity. Frame theory contains a parameter lambda, which can be thought of as 1/c(2), where c is the speed of light. By construction, frame theory is equivalent to general relativity for lambda > 0, and reduces to Newtonian gravity for lambda = 0. Moreover, by setting epsilon = root lambda, frame theory provides a framework to study the Newtonian limit epsilon SE arrow 0 (i.e. c -> infinity). A number of ideas relating to frame theory that were introduced by Jurgen have subsequently found important applications to the rigorous study of both the Newtonian limit and post-Newtonian expansions. In this article, we review frame theory and discuss, in a non-technical fashion, some of the rigorous results on the Newtonian limit and post-Newtonian expansions that have followed from Jurgen's work.
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