A nonlinear Klein–Gordon equation on Kerr metrics
Tài liệu tham khảo
Bachelot, 1991, Gravitational scattering of electromagnetic field by a Schwarzschild black hole, Ann. Inst. H. Poincaré Phys. Théor., 54, 261
Bachelot, 1994, Asymptotic completeness for the Klein–Gordon equation on the Schwarzschild metric, Ann. Inst. H. Poincaré Phys. Théor., 61, 411
Bachelot, 1997, Quantum vacuum polarization at the black-hole horizon, Ann. Inst. H. Poincaré Phys. Théor., 67, 181
Bachelot, 1999, The Hawking effect, Ann. Inst. H. Poincaré Phys. Théor., 70, 41
Bachelot, 2000, Creation of fermions at the charged black-hole horizon, Ann. H. Poincaré, 1, 1043, 10.1007/PL00001022
Bachelot, 1993, Les résonances d'un trou noir de Schwarzschild, Ann. Inst. H. Poincaré Phys. Théor., 59, 3
Cagnac, 1984, Solution globale d'une équation non linéaire sur une variété hyperbolique, J. Math. Pures Appl. (9), 63, 377
Chandrasekhar, 1983
DeVries, 1995, The evolution of the Dirac field in curved space–times, Manuscripta Math., 88, 233, 10.1007/BF02567820
DeVries, 1996, The evolution of the Weyl and Maxwell fields in curved space–times, Math. Nachr., 179, 27, 10.1002/mana.19961790103
Dimock, 1985, Scattering for the wave equation on the Schwarzschild metric, Gen. Relativity Gravitation, 17, 353, 10.1007/BF00759679
Dimock, 1987, Classical and quantum scattering theory for linear scalar fields on the Schwarzschild metric I, Ann. Phys., 175, 366, 10.1016/0003-4916(87)90214-4
F. Finster, N. Kamran, J. Smoller, S.-T. Yau, Decay rates and probability estimates for massive Dirac particles in the Kerr–Newman black hole geometry, Preprint No. 57, 2001, Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig
Friedlander, 1975
D. Häfner, Quelques résultats sur la théorie de la diffusion en relativité générale : équation des ondes dans des espaces-temps stationnaires asymptotiquement plats et équation de Klein–Gordon dans l'espace-temps de Kerr, Thèse de l'École Polytechnique, décembe 2000
Hörmander, 1985, 274
Jin, 1998, Scattering of massive Dirac fields on the Schwarzschild black hole space–time, Classical Quantum Gravity, 15, 3163, 10.1088/0264-9381/15/10/018
Leray, 1952
F. Melnyk, Scattering on Reissner–Nordstrom metric for massive charged spin 1/2 fields, Math. Appl. Bordeaux, Preprint No. 01-10, 2001, UMR CNRS 5466, Université Bordeaux 1
Motet-Bachelot, 1998, Nonlinear Dirac fields on the Schwarzschild metric, Classical Quantum Gravity, 15, 1815, 10.1088/0264-9381/15/7/003
Nicolas, 1995, Nonlinear Klein–Gordon equation on Schwarzschild-like metrics, J. Math. Pures Appl., 74, 35
Nicolas, 1995, Scattering of linear Dirac fields by a spherically symmetric Black hole, Ann. Inst. H. Poincaré Phys. Théor., 62, 145
Nicolas, 1997, Global exterior Cauchy problem for spin 3/2 zero rest-mass fields in the Schwarzschild space–time, Comm. Partial Differential Equations, 22, 465
J.-P. Nicolas, Dirac fields on asymptotically flat space–times, Math. Appl. Bordeaux, Preprint No. 01.09, 2001, UMR CNRS 5466, Université Bordeaux 1
O'Neill, 1995
Penrose, 1965, Zero rest-mass fields including gravitation: asymptotic behavior, Proc. Roy. Soc. A, 284, 159, 10.1098/rspa.1965.0058
Penrose, 1984
W.T. Shu, Spin Field Equations and Yang–Mills Equation, PhD thesis, Princeton Univ. Press, 1990
Wald, 1984