Champs de spin 3 / 2 et relativité générale

Jean-Philippe Nicolas[1]

  • [1] CMAT, Ecole Polytechnique, 91128 Palaiseau Cedex ou MAB, Université Bordeaux 1, 351 cours de la Libération, 33405 Talence Cedex

Séminaire Équations aux dérivées partielles (1998-1999)

  • Volume: 1998-1999, page 1-14

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Nicolas, Jean-Philippe. "Champs de spin $\mathbf{3/2}$ et relativité générale." Séminaire Équations aux dérivées partielles 1998-1999 (1998-1999): 1-14. <http://eudml.org/doc/10980>.

@article{Nicolas1998-1999,
affiliation = {CMAT, Ecole Polytechnique, 91128 Palaiseau Cedex ou MAB, Université Bordeaux 1, 351 cours de la Libération, 33405 Talence Cedex},
author = {Nicolas, Jean-Philippe},
journal = {Séminaire Équations aux dérivées partielles},
keywords = {spinor},
language = {fre},
pages = {1-14},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Champs de spin $\mathbf\{3/2\}$ et relativité générale},
url = {http://eudml.org/doc/10980},
volume = {1998-1999},
year = {1998-1999},
}

TY - JOUR
AU - Nicolas, Jean-Philippe
TI - Champs de spin $\mathbf{3/2}$ et relativité générale
JO - Séminaire Équations aux dérivées partielles
PY - 1998-1999
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 1998-1999
SP - 1
EP - 14
LA - fre
KW - spinor
UR - http://eudml.org/doc/10980
ER -

References

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  3. Y. Choquet-Bruhat, (1985), Causalité des théories de supergravité, Société Mathématique de France, Astérisque, Hors Série, p. 79-93. Zbl0604.53047MR837195
  4. Y. Choquet-Bruhat, D. Christodoulou, (1981) Elliptic problems in H s , δ spaces on manifolds which are euclidian at infinity, Acta Math., 146, pp. 129-150. Zbl0484.58028MR594629
  5. Y. Choquet-Bruhat, D. Christodoulou, M. Francaviglia, (1979) On the wave equation in curved spacetime, Ann. Inst. henri Poincaré, 31, 4, p. 399-414. Zbl0454.58016MR574143
  6. D. Christodoulou, S. Klainerman, (1993) The global nonlinear stability of the Minkowski space, Princeton Mathematical series 41, Princeton University Press. Zbl0827.53055MR1316662
  7. P.T. Chruściel, (1993) On completeness of orbits of Killing vector fields, Classical Quantum Gravity 10, No.10, 2091-2101. Zbl0807.53057MR1242398
  8. P.A.M. Dirac, (1928) The quantum theory of the electron, Proc. Roy. Soc., Part I  : A117, p. 610-624, Part II  : A118, p. 351-361. Zbl54.0973.01
  9. P.A.M. Dirac, (1936) Relativistic wave equations, Proc. Roy. Soc. A155, pp. 447-449. Zbl0014.42304
  10. M. Fierz and W. Pauli, (1939) On relativistic wave equations for particles of arbitrary spin in an electromagnetic field, Proc. Roy. Soc. A173, pp. 211-232. Zbl0023.43004MR1173
  11. R.P. Geroch, (1968) Spinor structure of space-times in general relativity, Part I : J. Math. Phys. 9, Part II : J. Math. Phys. 11. Zbl0165.29402
  12. R.P. Geroch, (1970) The domain of dependence, J. Math. Phys., 11, pp. 437-439. Zbl0189.27602MR270697
  13. T. Kato, (1970) Linear equations of “hyperbolic” type, Part I : J. Fac. Sc. Univ. Tokyo, 17, p. 241-258, Part II : J. Math. Soc. Japan, 25, p. 648-666. Zbl0262.34048
  14. T. Kato, (1975) The Cauchy problem for quasi-linear symmetric hyperbolic systems, Arch. Rational Mech. Anal., 58, p. 181-205. Zbl0343.35056MR390516
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  16. L.J. Mason and R. Penrose, (1994) Spin 3 / 2 fields and local twistors, Twistor Newsletter 37, p. 1-6. 
  17. J.-P. Nicolas, (1997) Global exterior Cauchy problem for spin 3/2 zero rest-mass fields in the Schwarzchild space-time, Commun. in PDE, 22, 3&4, 465-502. Zbl0878.35115MR1443046
  18. T. Parker, C.H. Taubes, (1982) On Witten’s proof of the positive energy theorem, Comm. Math. Phys., 84, 223-238. Zbl0528.58040
  19. R. Penrose, (1965) Zero rest-mass fields including gravitation  : asymptotic behavior, Proc. Roy. Soc. A284, pp. 159-203. Zbl0129.41202MR175590
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  24. E. Witten, (1981) A new proof of the positive energy theorem, Commun. Math. Physics 80, 381-402. Zbl1051.83532MR626707

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