Positive energy in general relativity

Jerry L. Kazdan

Séminaire Bourbaki (1981-1982)

  • Volume: 24, page 315-330
  • ISSN: 0303-1179

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Kazdan, Jerry L.. "Positive energy in general relativity." Séminaire Bourbaki 24 (1981-1982): 315-330. <http://eudml.org/doc/109995>.

@article{Kazdan1981-1982,
author = {Kazdan, Jerry L.},
journal = {Séminaire Bourbaki},
keywords = {positive energy theorem; positive mass conjecture; asymptotic flatness},
language = {eng},
pages = {315-330},
publisher = {Société Mathématique de France},
title = {Positive energy in general relativity},
url = {http://eudml.org/doc/109995},
volume = {24},
year = {1981-1982},
}

TY - JOUR
AU - Kazdan, Jerry L.
TI - Positive energy in general relativity
JO - Séminaire Bourbaki
PY - 1981-1982
PB - Société Mathématique de France
VL - 24
SP - 315
EP - 330
LA - eng
KW - positive energy theorem; positive mass conjecture; asymptotic flatness
UR - http://eudml.org/doc/109995
ER -

References

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  1. [A-D-M,l] Arnowitt, R., Deser, S., and Misner, C.W., "Energy and the Criteria for Radiation in General Relativity", Phys. Rev.118 (1960), pp.1100-1104. Zbl0090.44303MR127945
  2. [A-D-M,2] Arnowitt, R., Deser, S., and Misner, C.W., "Coordinate Invariance and Energy Expressions in General Relativity", Phys. Rev., 122 (1961), pp.997-1006. Zbl0094.23003MR127946
  3. [BB] Bérard-Bergery, L., "La courbure scalaire des variétés riemanniennes", Séminaire Bourbaki (1980), SpringerLecture Notes842, pp.225-245. Zbl0461.53023MR636526
  4. [Bo] Bourguignon, J.P., Thesis, Universite ParisVII. 
  5. [Ca] Cantor, M., "Some Problems of Global Analysis on Asymptotically Simple Manifolds", Compositio Math., 38, (1979) , pp.3-35. Zbl0402.58004MR523260
  6. [CS-CB] Chaljub-Simon, A., and Choquet-Bruhat, Y., "Problèmes elliptiques du second ordre sur une varieté euclidienne a l'infini," Ann. Fac. Sci. Toulouse Math. (5) 1 (1979), pp.9-25. Zbl0411.35044MR533596
  7. [CB-C] Choquet-Bruhat, Y., and Christodoulou, D., "Elliptic Systems in Hs,δ spaces on Manifolds which are Euclidean at Infinity," Acta. Math.146 (1981), pp.124-150. Zbl0484.58028
  8. [C] Christodoulou, D., unpublished. 
  9. [G] Geroch, R., "General Relativity," Proc. of Symp. in Pure Math., 27, Amer. Math. Soc., 1975, pp.401-414. Zbl0307.53038MR378703
  10. [G-L,1] Gromov, M., and Lawson, H.B., "Spin and scalar curvature in the presence of a fundamental group, I," Ann. Math. (2), 111, (1980), pp.209-230. Zbl0445.53025MR569070
  11. [G-L,2] Gromov, M., and Lawson, H.B., "The classification of simply connected manifolds of positive scalar curvature," Ann. Math (2), 111, (1980), pp.423-434. Zbl0463.53025MR577131
  12. [G-L,3] Gromov, M., and Lawson, H.B., to appear. 
  13. [H-E] Hawking, S.W., and Ellis, G.F.R., The Large Scale Structure of Space-Time, Cambridge U.P., 1973. Zbl0265.53054MR424186
  14. [H] Hitchin, N., "Harmonic Spinors," Advances in Math., 14 (1974), pp.1-55. Zbl0284.58016MR358873
  15. [H-P] Horowitz, G., and Perry, M. to appear. 
  16. [J] Jang, P.S., "On the positivity of energy in general relativity," to appear. MR488515
  17. [K] Kazdan, J.L., "Deformation to Positive Scalar Curvature on Complete Manifolds," to appear. Zbl0476.53022MR675736
  18. [K-W] Kazdan, J.L., and Warner, F.W., "Prescribing Curvatures," Proc. Symp. Pure Math., 27, Amer. Math. Soc., 1975, pp.219-226 Zbl0313.53017MR394505
  19. [L] Lawson, H.B., Lectures on Minimal Submanifolds, I, Lecture Note Series Vo.9, Publish or Perish, 1980. Zbl0434.53006MR576752
  20. [Li] Lichnerowicz, A., "Spineurs harmoniques," C.R. Acad. Sci. Paris, 257 (1963), pp.7-9. Zbl0136.18401MR156292
  21. [N-W] Nirenberg, L., and Walker, H.F., "The Null Spaces of Elliptic Partial Differential Operators in IRn," J. Math. Anal. App., 42, (1973), pp.271-301. Zbl0272.35029MR320821
  22. [P-T] Parker, T., and Taubes, C.H., "On Witten's proof of the positive energy theorem", Comm. Math. Phys., 84(1982), 223-238. Zbl0528.58040MR661134
  23. [Sa-U,1] Sacks, J., and Uhlenbeck, K., "The existence of minimal immersions of 2-spheres," Ann. Math. (2) 113 (1981), pp.1-24. Zbl0462.58014MR604040
  24. [S-U,2] Sacks, J., and Uhlenbeck, K., "Minimal immersions of compact Riemann surfaces," to appear. 
  25. [S-Y,1] Schoen, R., and Yau, S-T., "Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature," Ann. Math., 110 (1979), pp.127-142. Zbl0431.53051MR541332
  26. [S-Y,2] Schoen, R., and Yau, S-T., "On the Proof of the Positive Mass Conjecture in GEneral Relativity," Comm. Math. Phys., 65 (1979), pp.45-76. Zbl0405.53045MR526976
  27. [S-Y,3] Schoen, R., and Yau, S-T., "The Energy and the Linear Momentum of Space-Times in General Relativity," Comm. Math. Phys., 79 (1981), pp.47-51. Zbl0934.83031MR609227
  28. [S-Y,4] Schoen, R., and Yau, S-T., "Proof of the Positive Mass Theorem, II," Comm. Math. Phys., 79 (1981), pp.231-260. Zbl0494.53028MR612249
  29. [S-Y,5] Schoen, R., and Yau, S-T., "The proof of the positivity of the Bondi mass," to appear. 
  30. [W] Witten, E., "A New Proof of the Positive Energy Theorem," Comm. Math. Phys., 80 (1981), pp.381-402. Zbl1051.83532MR626707

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