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The positive energy theorem for weighted asymptotically anti-de Sitter spacetimes (2403.01881v1)
Published 4 Mar 2024 in gr-qc and math.DG
Abstract: The positive energy theorem for weighted asymptotically flat spin manifolds was proved by Baldauf and Ozuch \cite{BO}, and for non-spin case by Chu and Zhu \cite{CZh}. In this paper, we generalize the positive energy theorem for 3-dimensional asymptotically anti-de Sitter initial data sets to weighted asymptotically anti-de Sitter initial data sets assuming that the weighted dominant energy condition holds.
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