×

Covariant decomposition of symmetric tensors and the gravitational Cauchy problem. (English) Zbl 0155.32801


References:

[1] R. Arnowitt , S. Deser and C.W. Misner , Phys. Rev. , t. 114 , p. 1595 ( 1960 ). A survey of the results of the canonical approach may be found in an article by the authors in Gravitation , L. Witten ed. ( John Wiley and Sons , N. Y ., 1962 ). · Zbl 0092.20705
[2] R. Arnowitt , S. Deser and C.W. Misner , Phys. Rev. , t. 120 , p. 313 ( 1960 ). MR 127944 | Zbl 0096.22005 · Zbl 0096.22005 · doi:10.1103/PhysRev.120.313
[3] C. Barbance , C. R. Acad. Sci. , Paris , t. 258 , p. 5336 ( 1964 ). MR 164305 | Zbl 0188.26802 · Zbl 0188.26802
[4] A. Avez , Thèse , Paris ( 1964 ).
[5] R. Arnowitt , S. Deser and C.W. Misner , J. Math. Phys. , t. 1 , p. 434 ( 1960 ). MR 118461 | Zbl 0098.19103 · Zbl 0098.19103 · doi:10.1063/1.1703677
[6] R. Arnowitt , S. Deser and C.W. Misner , Phys. Rev. , t. 122 , p. 997 ( 1961 ). MR 127946 | Zbl 0094.23003 · Zbl 0094.23003 · doi:10.1103/PhysRev.122.997
[7] A. Lichnerowicz , Pub. Math. I. H. E. S. , t. 10 ( 1961 ) ; et Théories Relativistes de la Gravitation ( Masson et Cie , Paris , 1955 ). Numdam | Zbl 0098.42607 · Zbl 0098.42607 · doi:10.1007/BF02684612
[8] R. Arnowitt and S. Deser , Ann. of Phys. , t. 23 , p. 318 ( 1963 ). MR 157740 | Zbl 0118.23102 · Zbl 0118.23102 · doi:10.1016/0003-4916(63)90197-0
[9] H. Araki , Ann of Phys. , t. 7 , p. 456 ( 1959 ). MR 106078 | Zbl 0087.23002 · Zbl 0087.23002 · doi:10.1016/0003-4916(59)90054-5
[10] R. Penrose , Phys. Rev. Letters , t. 14 , p. 57 ( 1965 ); S. Hawking-Adams Prize Essay ( 1966 ), Cambridge . MR 172678 | Zbl 0125.21206 · Zbl 0125.21206 · doi:10.1103/PhysRevLett.14.57
[11] R. Arnowitt , S. Deser and C.W. Misner , Phys. Rev. , t. 120 , p. 313 , 321 ( 1960 ) and Ann. of Phys. , t. 33 , p. 88 ( 1965 ). Zbl 0096.22005 · Zbl 0096.22005 · doi:10.1103/PhysRev.120.313
[12] R. Arnowitt and S. Deser , Wave Front Theorem in General Relativity , Asymptotic Coordinates in General Relativity , Newtonian Fields and the Asymptotic Limit of General Relativity . These papers together with Lorentz Covariance and Gauge Invariance of Energy-Momentum in General Relativity form a series on the asymptotic properties of the gravitational field (to be published). · Zbl 0118.23102
[13] J. Schwinger , Phys. Rev. , t. 124 , p. 324 ( 1962 ); t. 130 , p. 406 , 800 ( 1963 ). Zbl 0122.22304 · Zbl 0122.22304 · doi:10.1103/PhysRev.127.324
[14] D. Boulware and S. Deser , Stress tensor Commutators and Schwinger Terms J. Math. Phys. (June 1967 ), in press.
[15] R. Arnowitt , S. Deser and C.W. Misnter , Ann. of Phys. , t. 11 , p. 116 ( 1960 ). Zbl 0091.43801 · Zbl 0091.43801 · doi:10.1016/0003-4916(60)90129-9
[16] S. Deser and F.A.E. Pirani , The sign of the Gravitational Force Ann. of Phys. ( 1967 ), in press. Zbl 0179.58602 · Zbl 0179.58602 · doi:10.1016/0003-4916(67)90166-2
[17] Y. Foures-Bruhat , J. Rat. Mech. Anal. , t. 5 , p. 951 ( 1956 ). MR 85123 | Zbl 0075.21602 · Zbl 0075.21602
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.