On the existence and properties of solutions of the generalized Jang equation with respect to asymptotically anti-de Sitter initial data
Abstract
We provide a rigorous analysis of the generalized Jang equation in the asymptotically anti-de Sitter setting modelled on constant time slices of anti-de Sitter spacetimes in dimensions 3≤ n ≤ 7 for a very general class of asymptotics. Potential applications to spacetime positive mass theorems for asymptotically anti-de Sitter initial data sets are discussed.
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