Positive energy theorem for (4+1)-dimensional asymptotically anti-de Sitter spacetimes
Yaohua Wang, Xu Xu
TL;DR
This paper establishes a positive energy theorem for (4+1)-dimensional asymptotically anti-de Sitter spacetimes by defining total energy-momenta and proving their positivity.
Contribution
It introduces a definition of total energy-momenta in higher-dimensional AdS spacetimes and proves their positivity, extending the positive energy theorem to this setting.
Findings
Total energy-momenta are well-defined for (4+1)-dimensional asymptotically AdS spacetimes.
The positive energy theorem holds in this higher-dimensional context.
The results support stability and consistency of such spacetimes in general relativity.
Abstract
We define the total energy-momenta for (4+1)-dimensional asymptotically anti-de Sitter spacetimes, and prove the positive energy theorem for such spacetimes.
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