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We give an overview of literature related to J\"urgen Ehlers' pioneering 1981 paper on Frame theory--a theoretical framework for the unification of General Relativity and the equations of classical Newtonian gravitation.
Winicour, J.H., Characteristic Evolution and Matching, Living Reviews in Relativity 15
1903
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Bondi, H., van der Burg, M.G.J., Metzner, A.W.K., Gravitational Waves in General Relativity. VII. Waves from Axi-Symmetric Isolated Systems, Proceedings of the Royal Society of London Series A 269
1962
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Sachs, R.K., Gravitational Waves in General Relativity. VIII. Waves in Asymptotically Flat Space-Time, Proceedings of the Royal Society of London Series A 270
1962
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Manasse, F.K., Misner, C.W., Fermi normal coordinates and some basic concepts in differential geometry, J. Math. Phys. 4
1963
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Penrose, R., Asymptotic Properties of Fields and Space-Times, Phys. Rev. Lett. 10
1963
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Tamburino, L.A., Winicour, J.H., Gravitational Fields in Finite and Conformal Bondi Frames, Phys. Rev. 150
1966
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Geroch, R., Limits of spacetimes, Comm. Math. Phys. 13(3)
1969
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Winicour, J.H., Newtonian gravity on the null cone, J. Math. Phys. 24
1983
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Isaacson, R.A., Welling, J.S., Winicour, J.H., Extension of the Einstein Quadrupole Formula, Phys. Rev. Lett. 53
1984
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Winicour, J.H., Null infinity from a quasi-Newtonian view, J. Math. Phys. 25
1984
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Isaacson, R.A., Welling, J.S., Winicour, J.H., Gravitational radiation from dust, J. Math. Phys. 26
1985
Earlier work this paper cites.
Thorne, K.S., The theory of gravitational radiation—an introductory review , in Gravitational radiation, Proceedings of the Advanced Study Institute, Les Houches, Haute-Savoie, France, June 2-21, 1982 (A84-35026 16-90), ed N. Deruelle and T Piran, Amsterdam, North-Holland Publishing, pp. 1-57 (1985)
1985
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Winicour, J.H., Logarithmic asymptotic flatness, Foundations of Physics 15
1985
Earlier work this paper cites.
Schutz, B., Report on the symposium ‘Radiative space-times and approximation methods’, held during the 11th International Conference on General Relativity and Gravitation, Stockholm, Sweden, 6–12 July (1986) online on Google Scholar
1986
Earlier work this paper cites.
Buchert, T., Götz, G., A class of solutions for self-gravitating dust in Newtonian gravity, J. Math. Phys. 28
1987
Earlier work this paper cites.
Winicour, J.H., The quadrupole radiation formula, Gen. Relativ. Gravit. 19
1987
Earlier work this paper cites.
Ehlers, J., The Newtonian limit of General Relativity , in Classical Mechanics and Relativity: Relationship and Consistency
1991
Earlier work this paper cites.
Jantzen, R.T., Carini, P., Bini, D., The many faces of gravitoelectromagnetism, Annals of Physics 215
1992
Earlier work this paper cites.
Lottermoser, M., A convergent post-Newtonian approximation for the constraints in General Relativity, Ann. Inst. Henri Poincaré 57
1992
Cited alongside, same era.
Buchert, T., Ehlers J., Lagrangian theory of gravitational instability of Friedmann-Lemaître cosmologies—second-order approach: an improved model for non-linear clustering, Mon. Not. Roy. Astr. Soc. 264
1993
Cited alongside, same era.
Ehlers, J., Akad. Wiss. Lit. (Mainz); Abh. Math.-Nat. Kl. No. 11
1993
Cited alongside, same era.
Rendall, A.D., The Newtonian limit for asymptotically flat solutions of the Vlasov-Einstein system, Commun. Math. Phys. 163
1994
Cited alongside, same era.
Chruściel, P.T., MacCallum, M.A.H., Singleton, D.B., Gravitational Waves in General Relativity. XIV: Bondi Expansions and the “Polyhomogeneity” of Scri, Phil. Trans. Roy. Soc. Lond. A 350
1995
Ehlers, J., Buchert, T., On the Newtonian limit of the Weyl tensor, Gen. Relativ. Gravit. 41
2009
Later among the works it cites.
Newman, E.T., Penrose, R., Spin-coefficient formalism, Scholarpedia 4(6)
2009
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Oliynyk, T.A., Schmidt, B., Existence of families of space-times with a Newtonian limit, Gen. Relativ. Gravit. 41
2009
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2012
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Cerdá-Durán, P., DeBrye, N., Aloy, M.A., Font, J.A., Obergaulinger, M., Gravitational Wave Signatures in Black Hole Forming Core Collapse, The Astrophysical Journal 779
2013
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Cited alongside, same era.
Heilig, U., On the existence of rotating stars in General Relativity, Comm. Math. Phys. 166
1995
Cited alongside, same era.
Kofman, L., Pogosyan, D., Dynamics of gravitational instability is nonlocal, Astrophys. J. 442
1995
Cited alongside, same era.
Buchert, T., Lagrangian perturbation approach to the formation of large-scale structure, in: International School of Physics Enrico Fermi
1996
Cited alongside, same era.
Buchert, T., Ehlers J., Averaging inhomogeneous Newtonian cosmologies, Astron. Astrophys. 320
1997
Cited alongside, same era.
Ehlers, J., Examples of Newtonian limits of relativistic space-times, Class. Quant. Grav. 14
1997
Cited alongside, same era.
Ehlers, J., Buchert, T., Newtonian cosmology in Lagrangian formulation: foundations and perturbation theory, Gen. Relativ. Gravit. 29
1997
Cited alongside, same era.
Van Elst, H., Uggla, C., Lesame, W.M., Ellis, G.F.R., Maartens, R., Integrability of irrotational silent cosmological models, Class. Quant. Grav. 14
1997
Cited alongside, same era.
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2013
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2015
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2016
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Mädler, T., Winicour, J.H., Bondi-Sachs Formalism, Scholarpedia 11(12)
2016
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2016
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2016
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2017
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2017
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2017
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2018
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2018
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Ehlers, J., Über den Newtonschen Grenzwert der Einsteinschen Gravitationstheorie, in Grundlagenprobleme der modernen Physik
2019
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