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Constrained dynamics and higher derivative systems in modified gravity
(University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, 2015-06-09)
In this thesis, higher derivative theories and constrained dynamics are investigated in detail. In the first part of the thesis, we discuss how the Ostrogradski instability emerges in non-degenerate higher derivative ...
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 ...