REVIEW 2 cited by
Linear Stability of Schwarzschild-Anti-de Sitter spacetimes II: Logarithmic decay of solutions to the Teukolsky system
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
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 originating from fixing the conformal class of the non-linear metric on the boundary. The proofs rely on (1) a physical space transformation theory between the Teukolsky equations and the Regge-Wheeler equations on Schwarzschild-Anti de Sitter backgrounds and (2) novel energy and Carleman estimates handling the coupling of the two Teukolsky equations through the boundary conditions thereby generalising earlier work of \cite{Hol.Smu13} for the covariant wave equation. Specifically, we also produce purely physical space Carleman estimates.
Forward citations
Cited by 2 Pith papers
-
Near-Boundary Asymptotics and Unique Continuation for the AdS--Einstein--Maxwell System
Given identical boundary data near infinity, two solutions of the AdS-Einstein-Maxwell equations must agree near that boundary, provided the boundary region satisfies a null-convexity condition.
-
A scattering construction for nonlinear wave equations on Kerr--Anti-de Sitter spacetimes
For a broad class of nonlinear wave equations on the Kerr-AdS exterior, exponentially decaying event horizon data is shown to yield future-global smooth solutions with exponential decay, even beyond the Hawking-Reall bound.
Discussion (0). Continue with ORCID to comment.