L’effet Hawking

Alain Bachelot[1]

  • [1] Université Bordeaux-1, Institut de Mathématiques, Laboratoire CNRS « MAB », F-33405 Talence Cedex

Séminaire Équations aux dérivées partielles (1997-1998)

  • Volume: 1997-1998, page 1-9

How to cite

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Bachelot, Alain. "L’effet Hawking." Séminaire Équations aux dérivées partielles 1997-1998 (1997-1998): 1-9. <http://eudml.org/doc/10954>.

@article{Bachelot1997-1998,
affiliation = {Université Bordeaux-1, Institut de Mathématiques, Laboratoire CNRS « MAB », F-33405 Talence Cedex},
author = {Bachelot, Alain},
journal = {Séminaire Équations aux dérivées partielles},
keywords = {Klein-Gordon equation; Schwarzschild solution},
language = {fre},
pages = {1-9},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {L’effet Hawking},
url = {http://eudml.org/doc/10954},
volume = {1997-1998},
year = {1997-1998},
}

TY - JOUR
AU - Bachelot, Alain
TI - L’effet Hawking
JO - Séminaire Équations aux dérivées partielles
PY - 1997-1998
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 1997-1998
SP - 1
EP - 9
LA - fre
KW - Klein-Gordon equation; Schwarzschild solution
UR - http://eudml.org/doc/10954
ER -

References

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  2. A. Bachelot. Scattering of Electromagnetic Field by De Sitter-Schwarzschild Black-Hole. In Non linear hyperbolic equations and field theory, volume 253 of Research Notes in Mathematics, pages 23–35. Pitman, 1992. Zbl0823.35162MR1175199
  3. A. Bachelot. Asymptotic Completeness for the Klein-Gordon Equation on the Schwarzschild Metric. Ann. Inst. Henri Poincaré - Physique théorique, 61(4) :411–441, 1994. Zbl0809.35141MR1311537
  4. A. Bachelot. Scattering of Scalar Fields by Spherical Gravitational Collapse. J. Math. Pures Appl., 76 :155–210, 1997. Zbl0872.53066MR1432372
  5. A. Bachelot. Quantum Vacuum Polarization at the Black-Hole Horizon. Ann. Inst. Henri Poincaré - Physique théorique, 67(2) :181–222, 1997. Zbl0897.53064MR1472567
  6. A. Bachelot. The Hawking Effect. Ann. Inst. Henri Poincaré - Physique théorique, à paraître. Zbl0919.53034
  7. A. Bachelot, A. Motet-Bachelot. Les résonances d’un trou noir de Schwarzschild. Ann. Inst. Henri Poincaré - Physique théorique, 59(1) :3–68, 1993. Zbl0793.53094
  8. A. Bachelot and J-P. Nicolas. Equation non linéaire de Klein-Gordon dans des métriques de type Schwarzschild. C. R. Acad. Sc. Paris, Série I, 316 :1047–1050, 1993. Zbl0776.35052MR1222970
  9. O. Bratteli, D. W. Robinson. Operator Algebras and Quantum Statistical Mechanics II. Springer Verlag, 1981. Zbl0463.46052MR611508
  10. J. Dimock. Algebras of Local Observables on a Manifold. Commun. Math. Phys., 77 :219–228, 1980. Zbl0455.58030MR594301
  11. J. Dimock, B. S. Kay. Classical and Quantum Scattering Theory for linear Scalar Fields on Schwarzschild Metric II. J. Math. Phys., 27 :2520–2525, 1986. Zbl0608.53065MR857397
  12. J. Dimock, B. S. Kay. Classical and Quantum Scattering Theory for linear Scalar Fields on Schwarzschild Metric I. Ann. Phys., 175 :366–426, 1987. Zbl0628.53080MR887979
  13. K. Fredenhagen, R. Haag. On the Derivation of Hawking Radiation Associated with the Formation of a Black Hole. Comm. Math. Phys., 127 :273–284, 1990. Zbl0692.53040MR1037104
  14. S. Hawking. Particle Creation by Black Holes. Comm. Math. Phys., 43 :199–220, 1975. MR381625
  15. C. J. Isham. Quantum field theory in Curved Space-Times, a general mathematical framework. In Differential Geometric Methods in Mathematical Physics II, volume 676 of Lecture Notes in Math., pages 459–512. Springer Verlag, 1977. Zbl0403.58007MR519626
  16. J-P. Nicolas. Non Linear Klein-Gordon Equation on Schwarzschild-like Metrics. J. Math. Pures Appl., 74 :35–58, 1995. Zbl0853.35123MR1313614
  17. J-P. Nicolas. Scattering of linear Dirac fields by a spherically symetric Black-Hole. Ann. Inst. Henri Poincaré - Physique théorique, 62(2) :145–179, 1995. Zbl0826.53072MR1317184
  18. J-P. Nicolas. Global Exterior Cauchy Problem for Spin 3/2 Zero Rest-Mass Fields in the Schwarzschild Space-Time. CPDE, 22(3-4) :465–502, 1997. Zbl0878.35115MR1443046
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  22. R. Wald. On Particle Creation by Black Holes. Comm. Math. Phys., 45 :9–34, 1975. MR391814

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