-
1
-
-
0003349587
-
Nonlinear analysis on manifolds
-
Springer-Verlag
-
Aubin, A., Nonlinear Analysis on Manifolds, Monge Ampere Equations, Springer-Verlag, 1982.
-
(1982)
Monge Ampere Equations
-
-
Aubin, A.1
-
2
-
-
84990556234
-
The mass of an asymptotically flat manifold
-
Bartnik, R., The mass of an asymptotically flat manifold, Comm. Pure Appl. Math., 39, 1986, 661-693.
-
(1986)
Comm. Pure Appl. Math.
, vol.39
, pp. 661-693
-
-
Bartnik, R.1
-
3
-
-
29944437083
-
The constraint equations
-
The Einstein Equations and the Large Scale Behaviour of Gravitational Fields, P. T. Chrusciel and H. Friedrich (eds.)
-
Bartnik, R. and Isenberg, J., The constraint equations, The Einstein Equations and the Large Scale Behaviour of Gravitational Fields, 50 Years of the Cauchy Problem in General Relativity, P. T. Chrusciel and H. Friedrich (eds.), 2004.
-
(2004)
50 Years of the Cauchy Problem in General Relativity
-
-
Bartnik, R.1
Isenberg, J.2
-
4
-
-
0000857545
-
The Laplacian on asymptotically flat manifolds and the specification of scalar curvature
-
Brill, D. and Cantor, M., The Laplacian on asymptotically flat manifolds and the specification of scalar curvature, Comp. Math., 43, 1981, 317-324.
-
(1981)
Comp. Math.
, vol.43
, pp. 317-324
-
-
Brill, D.1
Cantor, M.2
-
5
-
-
36749118777
-
A necessary and sufficient condition for York data to specify an asymptotically flat spacetime
-
Cantor, M., A necessary and sufficient condition for York data to specify an asymptotically flat spacetime, J. Math. Phys., 20(8), 1979, 1741-1744.
-
(1979)
J. Math. Phys.
, vol.20
, Issue.8
, pp. 1741-1744
-
-
Cantor, M.1
-
7
-
-
1142276051
-
Solutions globales du problème des contraintes sur une variété compacte
-
Choquet-Bruhat, Y., Solutions globales du problème des contraintes sur une variété compacte, C. R. Acad. Sci., 274, 1972, 682-684;
-
(1972)
C. R. Acad. Sci.
, vol.274
, pp. 682-684
-
-
Choquet-Bruhat, Y.1
-
8
-
-
33747879525
-
Global solutions of the problem of constraints on closed manifolds
-
Global solutions of the problem of constraints on closed manifolds, Acta 1st. alta mat., XII, 317-325.
-
Acta 1st. Alta Mat.
, vol.12
, pp. 317-325
-
-
-
10
-
-
69949161775
-
The coupled Einstein constraints
-
B. L. Hu and T. Jacobson (eds.), Cambridge University Press
-
Choquet-Bruhat, Y., The coupled Einstein constraints, Directions in General Relativity, B. L. Hu and T. Jacobson (eds.), Cambridge University Press, 1993.
-
(1993)
Directions in General Relativity
-
-
Choquet-Bruhat, Y.1
-
11
-
-
1142300300
-
Global existence theorems for Einstein equations in high dimensions
-
Sardanishvily (ed.), World Sci. Publishing, River Edge, NJ
-
Choquet-Bruhat, Y., Global existence theorems for Einstein equations in high dimensions, Gravity, Particles and Space-Time, Sardanishvily (ed.), World Sci. Publishing, River Edge, NJ, 1996, 19-28.
-
(1996)
Gravity, Particles and Space-time
, pp. 19-28
-
-
Choquet-Bruhat, Y.1
-
12
-
-
1142266412
-
Einstein constraints on n dimensional compact manifolds
-
Address at the symposium The Einstein equations and the large scale behaviour of gravitational fields, 50 years of the Cauchy problem in General Relativity, Cargese, 2002, published in
-
Choquet-Bruhat, Y., Einstein constraints on n dimensional compact manifolds, Address at the symposium The Einstein equations and the large scale behaviour of gravitational fields, 50 years of the Cauchy problem in General Relativity, Cargese, 2002, published in CQG 21, 2004, 127-153.
-
(2004)
CQG
, vol.21
, pp. 127-153
-
-
Choquet-Bruhat, Y.1
-
13
-
-
0003590414
-
-
Choquet-Bruhat, Y. and DeWitt-Morette, C., Analysis, Manifolds and Physics, I, 1982
-
(1982)
Analysis, Manifolds and Physics, I
-
-
Choquet-Bruhat, Y.1
Dewitt-Morette, C.2
-
14
-
-
0003590414
-
-
North Holland
-
Choquet-Bruhat, Y. and DeWitt-Morette, C., Analysis, Manifolds and Physics, and II, North Holland, 2000.
-
(2000)
Analysis, Manifolds and Physics, II
-
-
Choquet-Bruhat, Y.1
Dewitt-Morette, C.2
-
15
-
-
33747881494
-
Solutions asymptotiquement euclidiennes de l'équation de Lichnerowicz
-
Choquet-Bruhat, Y. and Chaljub Simon, A., Solutions asymptotiquement euclidiennes de l'équation de Lichnerowicz, C. R. Acad. Sci. Paris, 286, 1978, 917-920
-
(1978)
C. R. Acad. Sci. Paris
, vol.286
, pp. 917-920
-
-
Choquet-Bruhat, Y.1
Chaljub Simon, A.2
-
16
-
-
33747887197
-
-
(see also Ann. Univ. Toulouse, 1979, 1, 25-39).
-
(1979)
Ann. Univ. Toulouse
, vol.1
, pp. 25-39
-
-
-
17
-
-
0005182129
-
Solutions of constraints for Einstein equations
-
Choquet-Bruhat, Y., Isenberg, J. and Moncrief, V., Solutions of constraints for Einstein equations, C. R. Acad. Sci., 315, 1992, 349-355.
-
(1992)
C. R. Acad. Sci.
, vol.315
, pp. 349-355
-
-
Choquet-Bruhat, Y.1
Isenberg, J.2
Moncrief, V.3
-
18
-
-
0346444632
-
Einstein constraints on asymptotically Euclidean manifolds
-
Choquet-Bruhat, Y., Isenberg, J. and York, J. W., Einstein constraints on asymptotically Euclidean manifolds, Phys. Rev. D, (3), 61(8), 2000, 084034.
-
(2000)
Phys. Rev. D, (3)
, vol.61
, Issue.8
, pp. 084034
-
-
Choquet-Bruhat, Y.1
Isenberg, J.2
York, J.W.3
-
19
-
-
34250247250
-
s,δ spaces on manifolds which are Euclidean at infinity
-
s,δ spaces on manifolds which are Euclidean at infinity, Acta Math., 146, 1981, 129-150.
-
(1981)
Acta Math.
, vol.146
, pp. 129-150
-
-
Choquet-Bruhat, Y.1
Christodoulou, D.2
-
20
-
-
1142276039
-
Sur le problème de Dirichlet quasi linéaire d'ordre 2
-
Choquet-Bruhat, Y. and Leray, J., Sur le problème de Dirichlet quasi linéaire d'ordre 2, C. R. Acad. Sci., 274, 1972, 81-85.
-
(1972)
C. R. Acad. Sci.
, vol.274
, pp. 81-85
-
-
Choquet-Bruhat, Y.1
Leray, J.2
-
21
-
-
0002835512
-
The Cauchy problem
-
Held (ed.), Plenum, New York-London
-
Choquet-Bruhat, Y. and York, J. W., The Cauchy problem, General Relativity and Gravitation, Vol. 1, Held (ed.), Plenum, New York-London, 1980, 99-172.
-
(1980)
General Relativity and Gravitation
, vol.1
, pp. 99-172
-
-
Choquet-Bruhat, Y.1
York, J.W.2
-
22
-
-
0000485985
-
The boost problem in general relativity
-
Christodoulou, D. and O'Murchada, N., The boost problem in General Relativity, Comm. Math. Phys., 80, 1980, 271-300.
-
(1980)
Comm. Math. Phys.
, vol.80
, pp. 271-300
-
-
Christodoulou, D.1
O'Murchada, N.2
-
23
-
-
2942644451
-
On mapping properties of the general relativistic constraints operator in weighted function spaces, with applications
-
arxiv.org/gr-qc/0301073, 2003
-
Chrusciel, P. T. and Delay, E., On mapping properties of the general relativistic constraints operator in weighted function spaces, with applications, Mémoires de la Société Mathématiques de France, 2004. arxiv.org/gr-qc/0301073, 2003.
-
(2004)
Mémoires de la Société Mathématiques de France
-
-
Chrusciel, P.T.1
Delay, E.2
-
24
-
-
0742306171
-
Trapped surfaces as boundaries for the constraint equations
-
Dain, S., Trapped surfaces as boundaries for the constraint equations, Class. Quant. Grav., 21, 2004, 555-574.
-
(2004)
Class. Quant. Grav.
, vol.21
, pp. 555-574
-
-
Dain, S.1
-
25
-
-
0035648040
-
Asymptotically flat initial data with prescribed regularity at infinity
-
arxiv.org/gr-qc/0102047
-
Dain, S. and Friedrich, H., Asymptotically flat initial data with prescribed regularity at infinity, Comm. Math. Phys., 222(3), 2001, 569-609. arxiv.org/gr-qc/0102047.
-
(2001)
Comm. Math. Phys.
, vol.222
, Issue.3
, pp. 569-609
-
-
Dain, S.1
Friedrich, H.2
-
26
-
-
0037091549
-
Initial data for fluid bodies in general relativity
-
Dain, S. and Nagy, G., Initial data for fluid bodies in General Relativity, Phys. Rev. D, 65, 2002, 084020-1-15.
-
(2002)
Phys. Rev. D
, vol.65
-
-
Dain, S.1
Nagy, G.2
-
27
-
-
4244072496
-
Parametrization of the space of solutions of Einstein equarions
-
Isenberg, J., Parametrization of the space of solutions of Einstein equarions, Phys. Rev. Let., 59, 1987, 2389-2392.
-
(1987)
Phys. Rev. Let.
, vol.59
, pp. 2389-2392
-
-
Isenberg, J.1
-
28
-
-
21844481319
-
Constant mean curvature solutions of Einstein constraint equations on closed manifolds
-
Isenberg, J., Constant mean curvature solutions of Einstein constraint equations on closed manifolds, Class. Quant. Grav., 12, 1995, 2249-2279.
-
(1995)
Class. Quant. Grav.
, vol.12
, pp. 2249-2279
-
-
Isenberg, J.1
-
29
-
-
0040090762
-
A set of nonconstant mean curvature solutions of Einstein constraint equations on closed manifolds
-
Isenberg, J. and Moncrief, V., A set of nonconstant mean curvature solutions of Einstein constraint equations on closed manifolds, Class. Quant. Grav., 13, 1996, 1819-1847.
-
(1996)
Class. Quant. Grav.
, vol.13
, pp. 1819-1847
-
-
Isenberg, J.1
Moncrief, V.2
-
30
-
-
0001996991
-
L'intégration des équations relativistes et le problème des n corps
-
Lichnerowicz, A., L'intégration des équations relativistes et le problème des n corps, J. Math. pures et app., 23, 1944, 37-63.
-
(1944)
J. Math. Pures et App.
, vol.23
, pp. 37-63
-
-
Lichnerowicz, A.1
-
31
-
-
12444305440
-
Solutions of the Einstein constraint equations with apparent horizon boundaries
-
Maxwell, D., Solutions of the Einstein constraint equations with apparent horizon boundaries, Comm. Math. Phys., 253(3), 2005, 561-583.
-
(2005)
Comm. Math. Phys.
, vol.253
, Issue.3
, pp. 561-583
-
-
Maxwell, D.1
-
32
-
-
33747872930
-
Rough solutions of the Einstein constraint equations
-
to appear. arxiv.org/gr-qc/0405088
-
Maxwell, D., Rough solutions of the Einstein constraint equations, J. Reine Angew. Math., 2004, to appear. arxiv.org/gr-qc/0405088.
-
(2004)
J. Reine Angew. Math.
-
-
Maxwell, D.1
-
33
-
-
31144458634
-
Rough solutions of the Einstein constraint equations on compact manifolds
-
arxiv.org/gr-qc/0506085, 2004
-
Maxwell, D., Rough solutions of the Einstein constraint equations on compact manifolds, J. Hyper. Diff. Eq., 2(2), 2005, 521-546. arxiv.org/gr-qc/0506085, 2004.
-
(2005)
J. Hyper. Diff. Eq.
, vol.2
, Issue.2
, pp. 521-546
-
-
Maxwell, D.1
-
34
-
-
36849096599
-
Existence and uniqueness of solutions of the Hamiltonian constraint of general relativity on compact manifolds
-
O'Murchada, N. and York, J. W., Existence and uniqueness of solutions of the Hamiltonian constraint of General Relativity on compact manifolds, J. Math. Phys., 14, 1973, 1551-1557.
-
(1973)
J. Math. Phys.
, vol.14
, pp. 1551-1557
-
-
O'Murchada, N.1
York, J.W.2
-
36
-
-
0006027422
-
Linear elliptic operators with measurable coefficients
-
Trudinger, N., Linear elliptic operators with measurable coefficients, Ann. Scuola Norm. Sup. Pisa Cl. Sci., 27, 1973, 265-308.
-
(1973)
Ann. Scuola Norm. Sup. Pisa Cl. Sci.
, vol.27
, pp. 265-308
-
-
Trudinger, N.1
-
37
-
-
26544478974
-
Role of conformal three-geometry in the dynamics of gravitation
-
York, J. W., Role of conformal three-geometry in the dynamics of gravitation, Phys. Rev. Lett., 28, 1972, 1082-1085.
-
(1972)
Phys. Rev. Lett.
, vol.28
, pp. 1082-1085
-
-
York, J.W.1
-
38
-
-
0000377045
-
Conformal thin sandwich initial data, for the initial value problem of general relativity
-
York, J. W., Conformal thin sandwich initial data, for the initial value problem of general relativity, Phys. Rev. Lett., 82, 1999, 1350-1353.
-
(1999)
Phys. Rev. Lett.
, vol.82
, pp. 1350-1353
-
-
York, J.W.1
|