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math.AP2022★ 1 cited
Non-linear periodic waves on the Einstein cylinder
Athanasios Chatzikaleas, Jacques Smulevici
Motivated by the study of small amplitudes non-linear waves in the Anti-de-Sitter spacetime and in particular the conjectured existence of periodic in time solutions to the Einstei…
gr-qc2022★ 5 cited
A gauge-invariant unique continuation criterion for waves in asymptotically Anti-de Sitter spacetimes
Athanasios Chatzikaleas, Arick Shao
We reconsider the unique continuation property for a general class of tensorial Klein-Gordon equations of the form \begin{align*} \Box_{g} ϕ+ σϕ= \mathcal{G}(ϕ,\nabla ϕ) \text{,} \…