2024/03/04 by Yaohua Wang, Xiao Zhang, Wang, Yaohua +1
Physics and Astronomy · Mathematics · #Black Holes and Theoretical Physics #Advanced Mathematical Physics Problems #Geometric Analysis and Curvature Flows
paper · pdf · doi:10.48550/arxiv.2403.01881
The positive energy theorem for weighted asymptotically flat spin manifolds was proved by Baldauf and Ozuch \citeBO, and for non-spin case by Chu and Zhu \citeCZh. 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.