Instability of scalar field in a reflective cavity

Maciej Maliborski (U of Vienna)

Jun 26. 2023, 15:00 — 15:50

I will discuss a spherically symmetric gravitating model that exhibits turbulent dynamics, a phenomenon conjectured to be the core mechanism of instability of the anti-de Sitter solution. Using the resonant approximation, I will provide compelling evidence that generic arbitrarily small initial perturbations of amplitude epsilon lead to a black hole formation on the timescale 1/epsilon^2. Additionally, I will argue that the perturbative approximation remains valid until the formation of the apparent horizon.

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Spectral Theory and Mathematical Relativity (Thematic Programme)
Piotr T. Chruściel (U of Vienna)
Peter Hintz (ETH Zurich)
Alexander Strohmaier (U Leeds)
Steven Morris Zelditch † (Northwestern U Evanston)