39 citations · 198 across the 19 of their papers we have counts for
19 papers
Eigenvalue Estimate of the Dirac operator and Rigidity of Poincare-Einstein Metrics
Daguang Chen, Fang Wang, Xiao Zhang
We re-visit the eigenvalue estimate of the Dirac operator on spin manifolds with boundary in terms of the first eigenvalues of conformal Laplace operator as well as the conformal m…
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{…
Recent progress on the positive energy theorem
Xiao Zhang
We give a short review of recent progress on the positive energy theorem in general relativity, especially for spacetimes with nonzero cosmological constant.
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-…
A noncommutative geometric approach to the quantum structure of spacetime
R. B. Zhang, Xiao Zhang
Together with collaborators, we introduced a noncommutative Riemannian geometry over Moyal algebras and systematically developed it for noncommutative spaces embedded in higher dim…
Bondi-Sachs metrics and Photon Rockets
Huabin Ge, Mingxing Luo, Qiping Su +2
We study the Bondi-Sachs rockets with nonzero cosmological constant. We observe that the acceleration of the systems arises naturally in the asymptotic symmetries of (anti-) de Sit…