The positive energy theorem for weighted asymptotically anti-de Sitter spacetimes
Abstract
The positive energy theorem for weighted asymptotically flat spin manifolds was proved by Baldauf and Ozuch BO, and for non-spin case by Chu and Zhu 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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