BHI Colloquium, February 6 | ​​​​​​​"Nonlinear Evolution of the AdS_4 Black Hole Bomb," Paul Chesler | "Non-linear Stability via Global Analysis," Peter Hintz


Tuesday, February 6, 2018, 1:30pm to 2:30pm


BHI Conference Room (211) 20 Garden Street, Cambridge

"Nonlinear Evolution of the AdS_4 Black Hole Bomb"
Paul Chesler
Black Hole Initiative

Energy may be extracted from rotating black holes via scattering involving superradiant modes. It was suggested some time ago that if such modes could be confined using a mirror, then an amplification process can occur, converting a significant fraction of the black hole mass into radiation, leading to a so-called "black hole bomb."  Anti-de Sitter spacetime contain a natural mirror - the timelike boundary of the geometry - and provides a tractable arena to study the nonlinear evolution of the black hole bomb.  Via numerically solving the full 3+1 dimensional Einstein equations, I will present evidence that the AdS black hole bomb is a multistage process.  Specifically, via superradiant gravitational modes, Kerr-AdS black holes transition to hairy black holes with a single Killing vector, which then experiences secondary weaker superradiant instabilities.

Peter Hintz
University of California, Berkeley

I will explain the point of view adopted in a number of recent works, joint with Andras Vasy, in which we prove the global non-linear stability of Minkowski space and of Kerr-(Newman-)de Sitter black holes. Instead of constructing and controlling the non-linear solution incrementally in time, we use a Newton-type iteration scheme: at each iteration step we solve a linearized equation globally. I will in particular address how this informs the choice of gauges, and highlight the crucial role played by constraint damping, first introduced as a tool in numerical relativity by Gundlach et al.

See also: Astronomy, Math, Physics