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

@article{Buchert2019EditorialNT, 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}, year={2019} }

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…

## 4 Citations

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

- Mathematics, Physics
- 2021

We perform a covariant 1+3 split of the Newton-Cartan equations. The resulting 3-dimensional system of equations, called the 1+3-Newton-Cartan equations, is structurally equivalent to the 1+3Einstein…

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

- PhysicsPhysical Review D
- 2021

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

- Physics
- 2022

: The Newtonian Lagrangian perturbation theory is a widely used framework to study structure formation in cosmology in the weakly nonlinear regime. We review a general-relativistic formulation of…

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

- MathematicsGeneral Relativity and Gravitation
- 2020

We investigate effective equations governing the volume expansion of spatially averaged portions of inhomogeneous cosmologies in spacetimes filled with an arbitrary fluid. This work is a follow-up to…

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