The positive energy theorem for weighted asymptotically anti-de Sitter spacetimes
arxiv(2024)
摘要
The positive energy theorem for weighted asymptotically flat spin manifolds
was proved by Baldauf and Ozuch , and for non-spin case by Chu and Zhu
. 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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