Creation of fermions by rotating charged black holes
By: Dietrich Häfner
Contributors: Société mathématique de France
Series: Mémoires de la Société mathématique de France -- nouv. sér., no 117; Mémoire (Société mathématique de France) -- nouv. sér., no 117.
Publisher: Société mathématique de France
Published: 2009
Place of publication: Paris
Language: eng
Number of pages: 158
ISBN-13: 9782856292846
Subjects: Fermions; Black holes (Astronomy)
Notes: Includes bibliographical references (p. [155]-158).
Table of contents: title: Strategy of the proof and organization of the article. The analytic problem ; Strategy of the proof ; Organization of the article; title: The model of the collapsing star. The Kerr-Newman metric ; The model of the collapsing star; title: Classical Dirac fields. Main results ; Spin structures ; The Dirac equation and the Newman-Penrose formalism ; The Dirac equation on block I ; The Dirac equation on Mcol; title: Dirac quantum fields. Second quantization of Dirac fields ; Quantization in a globally hyperbolic space-time ; The Hawking effect; title: Additional scattering results. Spin weighted spherical harmonics ; Velocity estimates ; Wave operators ; Regularly results; title: The characteristic Cauchy problem. Main results ; The Cauchy problem with data on a lipschitz space-like hypersurface ; Proof of theorems 7.1 and 7.2 ; The characteristic Cauchy problem on Mcol; title: Reductions. The key theorem ; Fixing the angular momentum ; The basic problem ; The mixed problem for the asymptotic dynamics ; The new hamiltonians; title: Comparison of the dynamics. Comparison of the characteristic data ; Comparison with the asymptotic dynamics ; Proof of proposition 9.1; title: Propagation of singularities. The geometric optics approximation and its properties ; Diagonalization ; Study of the hamiltonian flow ; Proof of proposition 10.1; title: Proof of the main theorem. The energy cut-off ; The term near the horizon ; Proof of theorem 8.2; title: Proof of proposition 8.2; title: Penrose compactification of block I. Kerr-star and star-Kerr coordinates ; Kruskal-Boyer-Lindquist coordinates ; Penrose compactification of block I.