Event Details

The Klein-Gordon equation, a foundational model for massive matter, plays a pivotal role in relativistic physics, at the heart of various phenomena such as boson stars, hairy black holes, and superradiant instabilities. Despite its apparent simplicity, understanding the late-time asymptotics of massive scalar fields on a Schwarzschild black hole had remained a longstanding problem. We will discuss our recent mathematical result, which addresses and resolves this issue. Joint work with Federico Pasqualotto and Yakov Shlapentokh-Rothman.