Covariant decompositions of symmetric tensors in the theory of gravitation

James W. Jr. York

Annales de l'I.H.P. Physique théorique (1974)

  • Volume: 21, Issue: 4, page 319-332
  • ISSN: 0246-0211

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York, James W. Jr.. "Covariant decompositions of symmetric tensors in the theory of gravitation." Annales de l'I.H.P. Physique théorique 21.4 (1974): 319-332. <http://eudml.org/doc/75832>.

@article{York1974,
author = {York, James W. Jr.},
journal = {Annales de l'I.H.P. Physique théorique},
language = {eng},
number = {4},
pages = {319-332},
publisher = {Gauthier-Villars},
title = {Covariant decompositions of symmetric tensors in the theory of gravitation},
url = {http://eudml.org/doc/75832},
volume = {21},
year = {1974},
}

TY - JOUR
AU - York, James W. Jr.
TI - Covariant decompositions of symmetric tensors in the theory of gravitation
JO - Annales de l'I.H.P. Physique théorique
PY - 1974
PB - Gauthier-Villars
VL - 21
IS - 4
SP - 319
EP - 332
LA - eng
UR - http://eudml.org/doc/75832
ER -

References

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  1. [1] R. Arnowitt, S. Deser, and C. Misner, in Gravitation, edited by L. Witten, Wiley, New York, 1962. MR143629
  2. [2] S. Deser, Ann. Inst. Henri Poincaré, t. 7, 1967, p. 149. Zbl0155.32801
  3. [3] M. Berger and D. Ebin, J. Diff. Geom., t. 3, 1969, p. 379. Zbl0194.53103MR266084
  4. [4] J.W. York, J. Math. Phys., t. 14, 1973, p. 456. Zbl0259.53014
  5. [5] A.E. Fisher, in Relativity, edited by M. Carmeli, S. I. Ficklin, and L. Witten, Plenum, New York, 1970. MR339753
  6. [6] K. Yano and S. Bochner, Curvature and Betti Numbers, Princeton University Press, Princeton, 1953. Zbl0051.39402MR62505
  7. [7] O.A. Ladyzhenskaya and N.N. Ural'tseva, Linear and Quasi-Linear Elliptic Equations. Academic, New York, 1968, Chapter 7, Section 5. Zbl0164.13002
  8. [8] G. de Rham, Varietes Differentiables, Hermann, Paris, 1955. Zbl0065.32401
  9. [9] K. Kodaira and D.C. Spencer, Ann. Math., t. 71, 1960, p. 43. Zbl0128.16902MR115189
  10. [10] R. Matzner, J. Math. Phys., t. 9, 1968, p. 1657. 
  11. [11] J.W. York, Phys. Rev. Lett., t. 28, 1972, p. 1082. 
  12. [12] N. O'Murchadha and J.W. York, J. Math. Phys., t. 14, 1973, p. 1551. Zbl0281.53031
  13. [13] N. O'Murchadha and J.W. York, The initial-value problem of general relativity. I. Genral formulation and physical interpretation (to be published in Phys. Rev. D, July, 1974). 
  14. [14] N. O'Murchadha and J.W. York, The initial-value problem of general relativity. II. Stability of solutions of the initial-value equations (to be published in Phys. Rev. D, July, 1974). 
  15. [15] J.W. York, A new canonical form of general relativity (to be submitted to Phys. Rev. D). 

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