The Hawking effect
Annales de l'I.H.P. Physique théorique, Tome 70 (1999) no. 1, pp. 41-99.
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     volume = {70},
     number = {1},
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     mrnumber = {1671210},
     zbl = {0919.53034},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1999__70_1_41_0/}
}
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Bachelot, Alain. The Hawking effect. Annales de l'I.H.P. Physique théorique, Tome 70 (1999) no. 1, pp. 41-99. http://www.numdam.org/item/AIHPA_1999__70_1_41_0/

[1] J. Audretsch and V. De Sabbata, editors, Quantum Mechanics in Curved Space-Time, Vol. 230 of NATO ASI Series B. Plenum Press, 1989. | MR | Zbl

[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. | Numdam | MR | Zbl

[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. | MR | Zbl

[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. | Numdam | MR | Zbl

[5] A. Bachelot, Scattering of Scalar Fields by Spherical Gravitational Collapse, J. Math. Pures Appl., Vol. 76, 1997, pp. 155-210. | MR | Zbl

[6] A. Bachelot, Quantum Vacuum Polarization at the Black-Hole Horizon, Ann. Inst. Henri Poincaré - Physique théorique, Vol. 67(2), 1997, pp. 181-222. | Numdam | MR | Zbl

[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. | Numdam | MR | Zbl

[8] N.D. Birrel and P.C.W. Davies, Quantum fields in curved space, Cambridge University Press, 1982. | MR | Zbl

[9] O. Bratteli and D.W. Robinson, Operator Algebras and Quantum Statistical Mechanics II, Springer Verlag, 1981. | MR | Zbl

[10] P. Candelas, Vacuum polarization in Schwarzschild spacetime, Phys. Rev. D, Vol. 21(8), 1980, pp. 2185-2202. | MR

[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. | MR | Zbl

[12] B.S. De Witt, Quantum Field Theory in Curved Space-Time, Phys. Rep., Vol. 19(6), 1975, pp. 295-357.

[13] J. Dimock, Algebras of Local Observables on a Manifold, Commun. Math. Phys., Vol. 77, 1980, pp. 219-228. | MR | Zbl

[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. | Numdam | MR | Zbl

[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. | MR | Zbl

[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. | MR | Zbl

[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. | MR | Zbl

[18] S.A. Fulling, Aspects of Quantum Field Theory in Curved Space-Time, Cambridge University Press, 1989. | MR | Zbl

[19] G.W. Gibbons and S.W. Hawking, Cosmological event horizons, thermodynamics, and particle creation, Phys. Rev. D, Vol. 15, 1977, pp. 2738-2751. | MR

[20] A.A. Grib, S.G. Mamayev and V.M. Mostepanenko, Vacuum Quantum Effects in Strong Fields, Friedmann Laboratory Publishing, St. Petersburg, 1994.

[21] S. Hawking, Particle Creation by Black Holes, Comm. Math. Phys., Vol. 43, 1975, pp. 199-220. | MR

[22] E. Heinz, Beiträge zur Störungstheorie Spektralzerlegung, Math. Ann., Vol. 123, 1951, pp. 415-438. | MR | Zbl

[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. | MR | Zbl

[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. | Numdam | MR | Zbl

[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. | MR | Zbl

[26] M. Reed and B. Simon, Methods of modern mathematical physics, Vol. II, III, Academic Press, 1975, 1978.

[27] G.L. Sewell, Relativity of temperature and the Hawking effect, Phys. Lett. A, Vol. 79A(1), 1980, pp. 23-24. | MR

[28] G.L. Sewell, Quantum Fields on Manifolds: PCT and Gravitationally Induced Thermal States, Ann. Phys., Vol. 141, 1982, pp. 201-224. | MR

[29] W.G. Unruh, Notes on black-hole evaporation, Phys. Rev. D, Vol. 14(4), 1976, pp. 870- 892.

[30] R. Wald, On Particle Creation by Black Holes, Comm. Math. Phys., Vol. 45, 1975, pp. 9-34. | MR

[31] R. Wald, Quantum field theory in curved space-time and black-hole thermodynamics, University of Chicago Press, 1994. | MR | Zbl

[32] J.W. York, Jr., Dynamical origin of Black-Hole radiance, Phys. Rev. D, Vol. 28(12), 1983, pp. 2929-2945. | MR