The Hawking effect

Alain Bachelot

Annales de l'I.H.P. Physique théorique (1999)

  • Volume: 70, Issue: 1, page 41-99
  • ISSN: 0246-0211

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Bachelot, Alain. "The Hawking effect." Annales de l'I.H.P. Physique théorique 70.1 (1999): 41-99. <http://eudml.org/doc/76812>.

@article{Bachelot1999,
author = {Bachelot, Alain},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Hawking radiation; collapsing star; emergence of a thermal state at the last moment of a gravitational collapse; spherical star; Klein-Gordon field; Hawking temperature},
language = {eng},
number = {1},
pages = {41-99},
publisher = {Gauthier-Villars},
title = {The Hawking effect},
url = {http://eudml.org/doc/76812},
volume = {70},
year = {1999},
}

TY - JOUR
AU - Bachelot, Alain
TI - The Hawking effect
JO - Annales de l'I.H.P. Physique théorique
PY - 1999
PB - Gauthier-Villars
VL - 70
IS - 1
SP - 41
EP - 99
LA - eng
KW - Hawking radiation; collapsing star; emergence of a thermal state at the last moment of a gravitational collapse; spherical star; Klein-Gordon field; Hawking temperature
UR - http://eudml.org/doc/76812
ER -

References

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  1. [1] J. Audretsch and V. De Sabbata, editors, Quantum Mechanics in Curved Space-Time, Vol. 230 of NATO ASI Series B. Plenum Press, 1989. Zbl0729.53069MR1145039
  2. [2] A. Bachelot, Gravitationnal Scattering of Electromagnetic Field by Schwarzschild Black Hole, Ann. Inst. Henri Poincaré - Physique théorique, Vol. 54(3), 1991, pp. 261-320. Zbl0743.53037MR1122656
  3. [3] A. Bachelot, Scattering of Electromagnetic Field by De Sitter-Schwarzschild Black-Hole. In Non linear hyperbolic equations and field theory, Vol. 253, of Research Notes in Mathematics, Pitman, 1992, pp. 23-35. Zbl0823.35162MR1175199
  4. [4] A. Bachelot, Asymptotic Completeness for the Klein-Gordon Equation on the Schwarzschild Metric, Ann. Inst. Henri Poincaré - Physique théorique, Vol. 61(4), 1994, pp. 411-441. Zbl0809.35141MR1311537
  5. [5] A. Bachelot, Scattering of Scalar Fields by Spherical Gravitational Collapse, J. Math. Pures Appl., Vol. 76, 1997, pp. 155-210. Zbl0872.53066MR1432372
  6. [6] A. Bachelot, Quantum Vacuum Polarization at the Black-Hole Horizon, Ann. Inst. Henri Poincaré - Physique théorique, Vol. 67(2), 1997, pp. 181-222. Zbl0897.53064MR1472567
  7. [7] A. Bachelot and A. Motet-Bachelot, Les résonances d'un trou noir de Schwarzschild, Ann. Inst. Henri Poincaré - Physique théorique, Vol. 59(1), 1993, pp. 3-68. Zbl0793.53094MR1244181
  8. [8] N.D. Birrel and P.C.W. Davies, Quantum fields in curved space, Cambridge University Press, 1982. Zbl0476.53017MR652252
  9. [9] O. Bratteli and D.W. Robinson, Operator Algebras and Quantum Statistical Mechanics II, Springer Verlag, 1981. Zbl0463.46052MR611508
  10. [10] P. Candelas, Vacuum polarization in Schwarzschild spacetime, Phys. Rev. D, Vol. 21(8), 1980, pp. 2185-2202. MR570920
  11. [11] R. Carmona, One Dimensional Schrödinger Operators with Random or Deterministic Potentials: New Spectral Types, J. Func. Anal., Vol. 51(83), 1983, pp. 229-258. Zbl0516.60069MR701057
  12. [12] B.S. De Witt, Quantum Field Theory in Curved Space-Time, Phys. Rep., Vol. 19(6), 1975, pp. 295-357. 
  13. [13] J. Dimock, Algebras of Local Observables on a Manifold, Commun. Math. Phys., Vol. 77, 1980, pp. 219-228. Zbl0455.58030MR594301
  14. [14] J. Dimock and B.S. Kay, Classical wave operators and asymptotic quantum field operators on curved space-times, Ann. Inst. Henri Poincaré, Vol. 37(2), 1982, pp. 93-114. Zbl0539.35063MR682092
  15. [15] J. Dimock and B.S. Kay, Classical and Quantum Scattering Theory for linear Scalar Fields on Schwarzschild Metric II, J. Math. Phys., Vol. 27, 1986, pp. 2520-2525. Zbl0608.53065MR857397
  16. [16] J. Dimock and B.S. Kay, Classical and Quantum Scattering Theory for linear Scalar Fields on Schwarzschild Metric I, Ann. Phys., Vol. 175, 1987, pp. 366-426. Zbl0628.53080MR887979
  17. [17] K. Fredenhagen and R. Haag, On the Derivation of Hawking Radiation Associated with the Formation of a Black Hole, Comm. Math. Phys., Vol. 127, 1990, pp. 273-284. Zbl0692.53040MR1037104
  18. [18] S.A. Fulling, Aspects of Quantum Field Theory in Curved Space-Time, Cambridge University Press, 1989. Zbl0677.53081MR1071177
  19. [19] G.W. Gibbons and S.W. Hawking, Cosmological event horizons, thermodynamics, and particle creation, Phys. Rev. D, Vol. 15, 1977, pp. 2738-2751. MR459479
  20. [20] A.A. Grib, S.G. Mamayev and V.M. Mostepanenko, Vacuum Quantum Effects in Strong Fields, Friedmann Laboratory Publishing, St. Petersburg, 1994. 
  21. [21] S. Hawking, Particle Creation by Black Holes, Comm. Math. Phys., Vol. 43, 1975, pp. 199-220. MR381625
  22. [22] E. Heinz, Beiträge zur Störungstheorie Spektralzerlegung, Math. Ann., Vol. 123, 1951, pp. 415-438. Zbl0043.32603MR44747
  23. [23] C.J. Isham, Quantum field theory in Curved Space-Times, a general mathematical framework. In Differential Geometric Methods in Mathematical Physics II, Vol. 676 of Lecture Notes in Math., Springer Verlag, 1977, pp. 459-512. Zbl0403.58007MR519626
  24. [24] J.-P. Nicolas, Scattering of linear Dirac fields by a spherically symetric Black-Hole, Ann. Inst. Henri Poincaré - Physique théorique, Vol. 62(2), 1995, pp. 145-179. Zbl0826.53072MR1317184
  25. [25] J.-P. Nicolas, Global Exterior Cauchy Problem for Spin 3/2 Zero Rest-Mass Fields in the Schwarzschild Space-Time, CPDE, Vol. 22(3-4), 1997, pp. 465-502. Zbl0878.35115MR1443046
  26. [26] M. Reed and B. Simon, Methods of modern mathematical physics, Vol. II, III, Academic Press, 1975, 1978. Zbl0308.47002
  27. [27] G.L. Sewell, Relativity of temperature and the Hawking effect, Phys. Lett. A, Vol. 79A(1), 1980, pp. 23-24. MR597629
  28. [28] G.L. Sewell, Quantum Fields on Manifolds: PCT and Gravitationally Induced Thermal States, Ann. Phys., Vol. 141, 1982, pp. 201-224. MR673980
  29. [29] W.G. Unruh, Notes on black-hole evaporation, Phys. Rev. D, Vol. 14(4), 1976, pp. 870- 892. 
  30. [30] R. Wald, On Particle Creation by Black Holes, Comm. Math. Phys., Vol. 45, 1975, pp. 9-34. MR391814
  31. [31] R. Wald, Quantum field theory in curved space-time and black-hole thermodynamics, University of Chicago Press, 1994. Zbl0842.53052MR1302174
  32. [32] J.W. York, Jr., Dynamical origin of Black-Hole radiance, Phys. Rev. D, Vol. 28(12), 1983, pp. 2929-2945. MR726730

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