12 citations · 22 across the 11 of their papers we have counts for
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The positive energy theorem for weighted asymptotically anti-de Sitter spacetimes
Yaohua Wang, Xiao Zhang
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 pape…
Positive energy theorem for asymptotically anti-de Sitter spacetimes with distributional curvature
Yaohua Wang, Xiao Zhang
We establish the positive energy theorem for weak asymptotically anti-de Sitter initial data sets with distributional curvature under the weak dominant energy condition.
Construction of vacuum initial data by the conformally covariant split system
Patryk Mach, Yaohua Wang, Naqing Xie
Using the implicit function theorem, we prove existence of solutions of the so-called conformally covariant split system on compact 3-dimensional Riemannian manifolds. They give ri…
Nonexistence of time-periodic solutions of the Dirac equation in nonextreme Kerr-Newman-AdS spacetime
Yaohua Wang, Xiao Zhang
In non-extreme Kerr-Newman-AdS spacetime, we prove that there is no nontrivial Dirac particle which is for with arbitrary eigenvalue , and for $\frac{…
The positive energy theorem for asymptotically anti-de Sitter spacetimes
Yaohua Wang, Naqing Xie, Xiao Zhang
We establish the inequality for Henneaux-Teitelboim's total energy-momentum for asymptotically anti-de Sitter initial data sets which are asymptotic to arbitrary -slice in anti-…