The positive energy theorem for weighted asymptotically anti-de Sitter spacetimes
摘要
The positive energy theorem for weighted asymptotically flat spin manifolds was proved by Baldauf and Ozuch (2022) and for the non-spin case by Chu and Zhu (2024). 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.