A proof of the instability of AdS for the Einstein--massless Vlasov system

Understand

In recent years, the AdS instability conjecture, put forward by Dafermos-Holzegel in 2006, has attracted a substantial amount of numerical and heuristic studies.

• Following the pioneering work of Bizon-Rostworowski, research efforts have been mainly focused on the study of the spherically symmetric Einstein-scalar field system.
• The first rigorous proof of the instability of AdS in the simplest spherically symmetric setting, namely for the Einstein-null dust system, was obtained in [G.
• Moschidis, A proof of the instability of AdS for the Einstein-null dust system with an inner mirror, 2017, arXiv:1704.08681].