# Existence of families of spacetimes with a Newtonian limit

@article{Oliynyk2009ExistenceOF, title={Existence of families of spacetimes with a Newtonian limit}, author={Todd A. Oliynyk and Bernd Schmidt}, journal={General Relativity and Gravitation}, year={2009}, volume={41}, pages={2093-2111} }

Jürgen Ehlers developed frame theory to better understand the relationship between general relativity and Newtonian gravity. Frame theory contains a parameter λ, which can be thought of as 1/c2, where c is the speed of light. By construction, frame theory is equivalent to general relativity for λ > 0, and reduces to Newtonian gravity for λ = 0. Moreover, by setting $${\epsilon=\sqrt{\lambda}}$$ , frame theory provides a framework to study the Newtonian limit $${\epsilon \searrow 0 \,{\rm (i.e…

## 6 Citations

### Editorial note to: On the Newtonian limit of Einstein’s theory of gravitation (by Jürgen Ehlers)

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We give an overview of literature related to Jurgen Ehlers’ pioneering 1981 paper on Frame theory—a theoretical framework for the unification of general relativity and the equations of classical…

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- 2018

In recent works we have constructed axisymmetric solutions to the Euler-Poisson equations which give mathematical models of slowly uniformly rotating gaseous stars. We try to extend this result to…

### Singular perturbation techniques in the gravitational self-force problem

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Much of the progress in the gravitational self-force problem has involved the use of singular perturbation techniques. Yet the formalism underlying these techniques is not widely known. I remedy this…

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