Fetching the paper…
Reading the bibliography…
We construct a graded Lie algebra $\mathcal{E}$ in which the Maurer-Cartan equation is equivalent to the vacuum Einstein equations.
Friedrichs K.O., Comm. Pure and Appl. Math. 7, 2, (1954) 345-392 Symmetric hyperbolic linear differential equations
1954
Earlier work this paper cites.
Newman E. and Penrose R.J., J. Math. Phys. 3, (1962) 566-578 An Approach to Gravitational Radiation by a Method of Spin Coefficients
1962
Earlier work this paper cites.
Nijenhuis A. and Richardson R.W. Jr., Bull. Amer. Math. Soc. 70, (1964) 406-411 Cohomology and deformations of algebraic structures
1964
Earlier work this paper cites.
Gerstenhaber M., Ann. of Math. 79 (1964), 59-103 On the deformation of rings and algebras
1964
Earlier work this paper cites.
Atiyah M. F., Bott R. and Shapiro A., Topology (1964), 3, 3-38 Clifford modules
1964
Earlier work this paper cites.
Quillen D., Annals of Math. 90, 205-295 (1969) Rational Homotopy Theory
1969
Cited alongside, same era.
Friedrich H., Proc. R. Soc. Lond. A 375, (1981) 169-184 On the Regular and the Asymptotic Characteristic Initial Value Problem for Einstein’s Vacuum Field Equations
1981
Cited alongside, same era.
Belinskii V.A., Khalatnikov I.M. and Lifshitz E.M., Adv. Phys. 31 (1982), 639-667 A general solution of the Einstein equations with a time singularity
1982
Cited alongside, same era.
Huebschmann J. and Stasheff J., Forum Mathematicum 14, 847-868 (2002) Formal solution of the master equation via HPT and deformation theory
2002
Cited alongside, same era.
Reiterer M. and Trubowitz E., arxiv.org/abs/0910.4666 A formalism for analyzing vacuum spacetimes
Cited in the paper.
Kontsevich M., Lett. Math. Phys. 66, 157-216 (2003) Deformation quantization of Poisson manifolds
2003
Later among the works it cites.
Reiterer M. and Trubowitz E., Comm. Math. Phys., 307, 2, (2011) 275-313 Strongly Focused Gravitational Waves
2011
Later among the works it cites.
Berglund A., Algebr. Geom. Topol. 14, 2511-2548 (2014) Homological perturbation theory for algebras over operads
2014
Later among the works it cites.
Lawson H. B. and Michelsohn M. L (2016), Princeton university press Spin Geometry (PMS-38)
2016
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited in the paper.
Reiterer M. and Trubowitz E., arxiv.org/abs/1412.5561 The graded Lie algebra of general relativity
Cited in the paper.
Cited in the paper.
Cited in the paper.
Taylor M.E., Springer Partial Differential Equations III, Nonlinear Equations
Cited in the paper.