March 18, 2024 to April 26, 2024
Institut Henri Poincaré
Europe/Paris timezone

Simplifying harmonic gauge perturbations around black holes

Apr 2, 2024, 1:30 PM
1h
amphithéâtre Yvonne Choquet-Bruhat (new building (bâtiment Perrin))

amphithéâtre Yvonne Choquet-Bruhat

new building (bâtiment Perrin)

Speaker

Igor Khavkine (Czech Academy of Sciences)

Description

I will review a method of simplifying the separated equations of Maxwell and linear gravitational perturbations around a Schwarzschild black hole. The simplified form is a sparse upper triangular coupling of a system of Regge-Wheeler equations. The method takes advantage of a specific notion of equivalence between differential equations and of the special structure of ODEs with rational coefficients. I will also discuss the prospects of applying similar methods to the Kerr black hole.

Presentation materials