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gr-qc2024
Linear Stability of Schwarzschild-Anti-de Sitter spacetimes III: Quasimodes and sharp decay of gravitational perturbations
Olivier Graf, Gustav Holzegel
In this last part of the series we prove that the slow (inverse logarithmic) decay in time of solutions to the linearised Einstein equations on Schwarzschild-Anti-de Sitter backgro…
gr-qc2024
Linear Stability of Schwarzschild-Anti-de Sitter spacetimes II: Logarithmic decay of solutions to the Teukolsky system
Olivier Graf, Gustav Holzegel
We prove boundedness and inverse logarithmic decay in time of solutions to the Teukolsky equations on Schwarzschild-Anti-de Sitter backgrounds with standard boundary conditions ori…
gr-qc2024
Linear Stability of Schwarzschild-Anti-de Sitter spacetimes I: The system of gravitational perturbations
Olivier Graf, Gustav Holzegel
This is the main paper of a series establishing the linear stability of Schwarzschild-Anti-de Sitter (AdS) black holes to gravitational perturbations. Specifically, we prove that s…