Analysis of Teukolsky equations in Kerr spacetimes
Student No.:40
Time:Mon 13:30-14:30, Aug.6
Instructor:马思远 Ma Siyuan  
Place:Conference Room 1, Jin Chun Yuan West Bldg.
Starting Date:2018-8-6
Ending Date:2018-8-6

The Teukolsky master equation (TME) governs the dynamics of massless spin-$s$ fields in Kerr spacetime, $s=0,1,2$ corresponding to scalar field, electromagnetic field and linearized gravity respectively. In this talk, I will show how to obtain energy, Morawetz and pointwise decay estimates for TME in the cases of both Maxwell field and linearized gravity on Kerr backgrounds. If time permits, I will outline an approach of utilizing these estimates of the Teukolsky variables to achieve linear stability of Kerr. Part of the work is joint work with Lars Andersson, Thomas Backdahl, Pieter Blue.