On the relation between the Einstein and the Komar expressions for the energy of the gravitational field

Piotr Tadeusz Chruściel

Annales de l'I.H.P. Physique théorique (1985)

  • Volume: 42, Issue: 3, page 267-282
  • ISSN: 0246-0211

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Chruściel, Piotr Tadeusz. "On the relation between the Einstein and the Komar expressions for the energy of the gravitational field." Annales de l'I.H.P. Physique théorique 42.3 (1985): 267-282. <http://eudml.org/doc/76282>.

@article{Chruściel1985,
author = {Chruściel, Piotr Tadeusz},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {energy-momentum; background metric; geometric Hamiltonian analysis; von Freud superpotential; Komar superpotential; Legendre transformation; energy expressions; asymptotically flat space-times},
language = {eng},
number = {3},
pages = {267-282},
publisher = {Gauthier-Villars},
title = {On the relation between the Einstein and the Komar expressions for the energy of the gravitational field},
url = {http://eudml.org/doc/76282},
volume = {42},
year = {1985},
}

TY - JOUR
AU - Chruściel, Piotr Tadeusz
TI - On the relation between the Einstein and the Komar expressions for the energy of the gravitational field
JO - Annales de l'I.H.P. Physique théorique
PY - 1985
PB - Gauthier-Villars
VL - 42
IS - 3
SP - 267
EP - 282
LA - eng
KW - energy-momentum; background metric; geometric Hamiltonian analysis; von Freud superpotential; Komar superpotential; Legendre transformation; energy expressions; asymptotically flat space-times
UR - http://eudml.org/doc/76282
ER -

References

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  1. [1] L. Abbott, S. Deser, Nucl. Phys., t. B 195, 1982, p. 76-96. Zbl0900.53033
  2. [2] R. Arnowitt, S. Deser, C.W. Misner, The dynamics of general relativity, in Gravitation: an introduction to current research, ed. L. Witten, John Wiley & Sons, New York, 1962. Zbl1152.83320
  3. [3] P. Bergmann, The general theory of relativity, in Handbuch der Physik, vol. IV, Principles of electrodynamics and relativity, ed. S. Flügge, Springer Verlag, Berlin, 1962. MR144762
  4. [4] Y. Choquet-Bruhat, Lectures at the les Houches. Summer School, 1983. 
  5. [5] A. Einstein, Ann. Phys., t. 49, 1916, p. 769-822. JFM46.1293.01
  6. [6] Ph. Von Freud, Ann. Math., t. 40, 1939, p. 417-419. Zbl0020.42303
  7. [7] J.N. Goldberg, Invariant transformations, conservation laws and energy-momentum, in General relativity and gravitation, ed. A. Held, Plenum Press, New York, 1980. MR583727
  8. [8] J. Isenberg, J. Nester, Canonical gravity, the same book as ref. [7]. 
  9. [9] J. Kijowski, GRG, t. 9, 1978, p. 857-877. Zbl0429.49019MR512794
  10. [10] J. Kijowski, W.M. Tulczyjew, A symplectic framework for field theories, Springer Lecture Notes in Physics, t. 107, 1979. Zbl0439.58002MR549772
  11. [11] A. Komar, Phys. Rev., t. 113, 1959, p. 934-936. Zbl0086.22103MR102403
  12. [12] A. Papapetrou, Proc. Roy. Irish Acad., t. A 52, 1948, p. 11. Zbl0037.42103MR26459
  13. [13] T. Regge, C. Teitelboim, Ann. Phys., t. 88, 1974, p. 286-318. Zbl0328.70016MR359663
  14. [14] R. Schoen, S.-T. Yau, Comm. Math. Phys., t. 79, 1981, p. 231-260. Zbl0494.53028MR612249
  15. [15] A. Trautman, Conservation laws in general relativity, the same book as ref. [2]. 
  16. [16] E. Witten, Comm. Math. Phys., t. 80, 1981, p. 381-402. Zbl1051.83532

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