Browsing by Author "Dafermos, Mihalis"
Now showing items 1-3 of 3
-
Linear waves on higher dimensional Schwarzschild black holes and Schwarzschild de Sitter spacetimes
(University of CambridgeDepartment of Pure Mathematics and Mathematical Statistics, 2012-07-03)I study linear waves on higher dimensional Schwarzschild black holes and Schwarzschild de Sitter spacetimes. In the first part of this thesis two decay results are proven for general finite energy solutions to the linear ...
-
On the initial value problem in general relativity and wave propagation in black-hole spacetimes
(University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, 2014-11-11)The first part of this thesis is concerned with the question of global uniqueness of solutions to the initial value problem in general relativity. In 1969, Choquet-Bruhat and Geroch proved, that in the class of globally ...
-
Stability of charged rotating black holes for linear scalar perturbations
(University of CambridgeDepartment of Pure Mathematics and Mathematical StatisticsCambridge Centre for Analysis, 2015-03-03)In this thesis, the stability of the family of subextremal Kerr-Newman space- times is studied in the case of linear scalar perturbations. That is, nondegenerate energy bounds (NEB) and integrated local energy decay ...