The geometry of Kerr black holes and the Teukolsky equation.

Date/heure
8 décembre 2025
15:30 - 16:30

Oratrice ou orateur
Pascal Millet

Catégorie d'évènement
Séminaire de géométrie différentielle


Résumé

An important family of solutions to the Einstein vacuum equations is given by the Kerr metrics, which describe rotating black holes. In this talk, I will present some important geometric properties of these spacetimes relevant to the study of classical field equations such as the scalar waves, electromagnetism and linearized gravity. As observed by Teukolsky, by exploiting a special algebraic property of the spacetime, it is possible to decouple certain components of the fields from the rest of the system, leading to the so-called Teukolsky equation. Solutions of this equation can then be analyzed to recover information about the full system.