Quantum and classical fields interacting with geometry, Paris

Mini-course: Geometry of Killing horizons and applications to black hole physics

Mar 18, 2024, 9:30 AM

1h

amphithéâtre Yvonne Choquet-Bruhat (new building - bâtiment Perrin)

Speaker

Eric Gourgoulhon (LUTH, Observatoire de Paris)

Description

I. Null hypersurfaces and non-expanding horizons

1. Basic geometry of null hypersurfaces
   a) null geodesic generators
   b) cross-sections
   c) expansion and shear
   d) null Raychaudhuri equation
2. Definition and main properties of non-expanding horizons
   a) marginally trapped cross-sections area invariance
   b) area invariance
   c) canonical affine connection
   d) total geodesicness

(see https://relativite.obspm.fr/blackholes/ihp24/ for details and slides)