Time-Periodic Einstein--Klein--Gordon Bifurcations Of Kerr

Monday, September 21, 2015 -
3:15pm to 4:30pm
For an open measure set of Klein--Gordon masses mu^2 > 0, we construct one-parameter families of solutions to the Einstein--Klein--Gordon equations bifurcating off the Kerr solution such that the underlying family of spacetimes are each an asymptotically flat, stationary, axisymmetric, black hole spacetime, and such that the corresponding scalar fields are non-zero and time-periodic. An immediate corollary is that for these Klein--Gordon masses, the Kerr family is not asymptotically stable as a solution to the Einstein--Klein--Gordon equations. (Joint work with O, Chodosh.)  
Speaker: 
Yakov Shlapentokh-Rothman
Princeton University
Event Location: 
Fine Hall 110