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20162026
most citedThe bulk-boundary correspondence for the Einstein equations in asymptotically Anti-de Sitter spacetimes

6 citations · 6 across the 6 of their papers we have counts for

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Showing 2020Show all

3 papers · 1 filter

gr-qc2020

Null Geodesics and Improved Unique Continuation for Waves in Asymptotically Anti-de Sitter Spacetimes

Alex McGill, Arick Shao

We consider the question of whether solutions of Klein--Gordon equations on asymptotically Anti-de Sitter spacetimes can be uniquely continued from the conformal boundary. Positive…

math.AP2020

Global stability of traveling waves for -dimensional systems of quasilinear wave equations

Louis Dongbing Cha, Arick Shao

A key feature of -dimensional nonlinear wave equations is that they admit left or right traveling waves, under appropriate algebraic conditions on the nonlinearities. In thi…

gr-qc2020

The Near-Boundary Geometry of Einstein-Vacuum Asymptotically Anti-de Sitter Spacetimes

Arick Shao

We study the geometry of a general class of vacuum asymptotically Anti-de Sitter spacetimes near the conformal boundary. In particular, the spacetime is only assumed to have finite…