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arXiv · 2403.01881

The positive energy theorem for weighted asymptotically anti-de Sitter spacetimes

Yaohua Wang·Xiao Zhang
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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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Yaohua Wang, Xiao Zhang. 2024-03-04. The positive energy theorem for weighted asymptotically anti-de Sitter spacetimes. https://arxiv.org/abs/2403.01881

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