"Spectral Theory and Mathematical Physics"
In honor of Vladimir Georgescu
Cergy-Pontoise, June 21-24, 2016.
Photo Credit: Cergy - Axe majeur,
www.cergypontoise.fr/jcms/p2_85721/fr/le-patrimoine-moderne
| Program Spyros Alexakis Kaïs Ammari Jean-Marc Bouclet Jan Derezinski Clotilde Fermanian Kammerer Christian Gérard Sylvain Golénia Dietrich Häfner Matti Lassas Mathieu Lewin Jacob Schach Moller Francis Nier Victor Nistor Benoit Pausader Main page |
Dietrich Hafner: On classical and quantum scattering for field equations on the (De Sitter) Kerr metric Abstract: In this talk I will review some results concerning scattering theory for field equations on the (De Sitter) Kerr metric. The (De Sitter) Kerr metric is a solution of the vacuum Einstein equations with zero (positive in the De Sitter case) cosmological constant describing rotating black holes. There is a fundamental difference between Dirac and Klein-Gordon fields. Whereas there exists a positive conserved quantity for Dirac fields, no such quantity exists for Klein-Gordon fields. I will describe asymptotic completeness results for both Dirac and Klein-Gordon fields (Kerr case for Dirac and De Sitter Kerr case for Klein-Gordon). For Klein-Gordon fields the angular momentum of the solution has to be fixed. For Dirac fields I will also discuss a theorem describing the Hawking effect. This effect predicts the creation of particles by black holes. The results presented here were obtained in different collaborations with Vladimir Georgescu, Christian Gérard and Jean-Philippe Nicolas. |
|
|
|
|  |
