Linearization stability of the Einstein equations
Authors:
Arthur E. Fischer and Jerrold E. Marsden
Journal:
Bull. Amer. Math. Soc. 79 (1973), 997-1003
MSC (1970):
Primary 83C05; Secondary 58D15, 83C25, 53C25
DOI:
https://doi.org/10.1090/S0002-9904-1973-13299-9
MathSciNet review:
0426035
Full-text PDF Free Access
References | Similar Articles | Additional Information
- R. Arnowitt, S. Deser, and C. W. Misner, The dynamics of general relativity, Gravitation: An introduction to current research, Wiley, New York, 1962, pp. 227–265. MR 0143629
- M. Berger and D. Ebin, Some decompositions of the space of symmetric tensors on a Riemannian manifold, J. Differential Geometry 3 (1969), 379–392. MR 266084
- Dieter R. Brill and Stanley Deser, Instability of closed spaces in general relativity, Comm. Math. Phys. 32 (1973), 291–304. MR 329548 4. D. Brill and S. Deser, Variational methods and positive energy in relativity, Ann. Physics 50 (1968), 548-570.
- Yvonne Choquet-Bruhat and Stanley Deser, Stabilité initiale de l’espace temps de Minkowski, C. R. Acad. Sci. Paris Sér. A-B 275 (1972), A1019–A1021 (French). MR 327250
- David G. Ebin, The manifold of Riemannian metrics, Global Analysis (Proc. Sympos. Pure Math., Vol. XV, Berkeley, Calif., 1968), Amer. Math. Soc., Providence, R.I., 1970, pp. 11–40. MR 0267604
- Arthur Elliot Fischer, The theory of superspace, Relativity (Proc. Conf. Midwest, Cincinnati, Ohio, 1969) Plenum, New York, 1970, pp. 303–357. MR 0347323
- Arthur E. Fischer and Jerrold E. Marsden, The Einstein equations of evolution—a geometric approach, J. Mathematical Phys. 13 (1972), 546–568. MR 299165, DOI https://doi.org/10.1063/1.1666014
- Arthur E. Fischer and Jerrold E. Marsden, The Einstein evolution equations as a first-order quasi-linear symmetric hyperbolic system. I, Comm. Math. Phys. 28 (1972), 1–38. MR 309507
- Arthur E. Fischer and Jerrold E. Marsden, Manifolds of Riemannian metrics with prescribed scalar curvature, Bull. Amer. Math. Soc. 80 (1974), 479–484. MR 346839, DOI https://doi.org/10.1090/S0002-9904-1974-13457-9
- Arthur E. Fischer and Jerrold E. Marsden, Linearization stability of the Einstein equations, Bull. Amer. Math. Soc. 79 (1973), 997–1003. MR 426035, DOI https://doi.org/10.1090/S0002-9904-1973-13299-9
- André Lichnerowicz, Propagateurs et commutateurs en relativité générale, Inst. Hautes Études Sci. Publ. Math. 10 (1961), 56 (French). MR 157736
- Joseph A. Wolf, Spaces of constant curvature, 2nd ed., Department of Mathematics, University of California, Berkeley, Calif., 1972. MR 0343213
Retrieve articles in Bulletin of the American Mathematical Society with MSC (1970): 83C05, 58D15, 83C25, 53C25
Retrieve articles in all journals with MSC (1970): 83C05, 58D15, 83C25, 53C25