On the asymptotics for the vacuum einstein constraint equations

Journal of Differential Geometry

Volumn 73, Issue 2, 2006, Pages 185-217

  Corvino, Justin ^a   Schoen, Richard M ^b  

^a LAFAYETTE COLLEGE   (United States)

^b STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33747128217     PISSN: 0022040X     EISSN: 1945743X     Source Type: Journal    
DOI: 10.4310/jdg/1146169910     Document Type: Article

References (16)

1. R. Arnowitt, S. Deser, & C. Misner, Coordinate invariance and energy expressions in general relativity, Phys. Rev. 122 (1961) 997-1006.
2. R. Bartnik, The Mass of an Asymptotically Flat Manifold, Comm. Pure and Appl. Math. 39 (1986) 661-693.
3. R. Beig & N. O Murchadha, The Poincaré Group as the Symmetry Group of Canonical General Relativity, Ann. Phys. 174 (1987) 463-498.
4. Y. Choquet-Bruhat, A.E. Fischer, & J.E. Mardsen, Equations des contraintes sur une variété non compacte, C.R. Acad. Sc. Paris 284 (1977) 975-978.
5. P.T. Chrusciel & E. Delay, On mapping properties of the general relativistic constraints operator in weighted function spaces, with applications, Mem. Soc. Math. Fr. (N.S.) 94 (2003).
6. J. Corvino, Scalar Curvature Deformation and a Gluing Construction for the Einstein Constraint Equations, Comm. Math. Phys. 214 (2000) 137-189.
7. A. Douglis & L. Nirenberg, Interior Estimates for Elliptic Systems of Partial Differential Equations, Comm. Pure Appl. Math. 8 (1955) 503-538.
8. A.E. Fischer & J.E. Marsden, Deformations of the Scalar Curvature, Duke Math. J. 42 (1975) 519-547.
9. A.E. Fischer & J.E. Marsden, Linearization Stability of the Einstein Equations, Bull. AMS. 79 (1973) 997-1003.
10. J. Kazdan, Unique Continuation in Geometry, Comm. Pure Appl. Math. 16 (1988) 667-681.
11. C. Misner, K. Thorne, & J. Wheeler, Gravitation, W.H. Freeman & Co., New York, 1973.
12. V. Moncrief, Spacetime symmetries and linearization of the Einstein equations I, J. Math. Phys. 16 (1975) 493-498.
13. L. Nirenberg, Topics in Nonlinear Functional Analysis, Courant Institute of Mathematical Sciences Lecture Notes, New York, 1974.
14. T. Regge & C. Teitelboim, Role of Surface Integrals in the Hamiltonian Formulation of General Relativity, Ann. Phys. 88 (1974) 286-318.
15. R.M. Schoen & S.-T. Yau, The Energy and Linear Momentum of Spacetimes in General Relativity, Comm. Math. Phys. 79 (1981) 47-51.
16. R.M. Wald, General Relativity, U. Chicago Press, Chicago, 1984.