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

  title={Editorial note to: On the Newtonian limit of Einstein’s theory of gravitation (by J{\"u}rgen Ehlers)},
  author={Thomas Buchert and Thomas Madler},
  journal={General Relativity and Gravitation},
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 Newtonian gravitation. This unification encompasses the convergence of one-parametric families of four-dimensional solutions of Einstein’s equations of General relativity to a solution of equations of a Newtonian theory if the inverse of a causality constant goes to zero. As such the corresponding light… 

1+3 -Newton-Cartan system and Newton-Cartan cosmology

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Spherically symmetric black holes and affine-null metric formulation of Einstein’s equations

Emanuel Gallo, Carlos Kozameh, Thomas Mädler, Osvaldo M. Moreschi and Alejandro Perez FaMAF, UNC; Instituto de Física Enrique Gaviola (IFEG), CONICET, Ciudad Universitaria, (5000) Córdoba, Argentina.

On general-relativistic Lagrangian perturbation theory and its non-perturbative generalization

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On average properties of inhomogeneous fluids in general relativity III: general fluid cosmologies

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Existence of families of spacetimes with a Newtonian limit

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,

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Few recent generations of cosmologists have solved non-local newtonian equations of the gravitational instability in an expanding universe. In this approach pancaking is the predominant form of first

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AbstractThe Newtonian equations of motion, and Newton's law of gravitation can be obtained by a limit $$\lambda = \frac{1}{{c^2 }} \to 0$$ of Einstein's equations. For a sufficiently small constant

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The “Newtonian” theory of spatially unbounded, self-gravitating, pressureless continua in Lagrangian form is reconsidered. Following a review of the pertinent kinematics, we present alternative

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The relativistic generalization of the Newtonian Lagrangian perturbation theory is investigated. In previous works, the perturbation and solution schemes that are generated by the spatially projected

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