10 citations · 20 across the 6 of their papers we have counts for
5 papers · 1 filter
The Dirac equation on metrics of Eguchi-Hanson type
Zhuohua Cai, Xiao Zhang
We investigate parallel spinors on the Eguchi-Hanson metrics and find the space of complex parallel spinors are complex 2-dimensional. For the metrics of Eguchi-Hanson type with th…
The positive energy conjecture for a class of AHM metrics on
Zhuobin Liang, Xiao Zhang
We prove the positive energy conjecture for a class of asymptotically Horowitz-Myers (AHM) metrics on .This generalizes the previous results o…
Metrics of Horowitz-Myers type with the negative constant scalar curvature
Zhuobin Liang, Xiao Zhang
We construct a one-parameter family of complete metrics of Horowitz-Myers type with the negative constant scalar curvature. We also verify a positive energy conjecture of Horowitz-…
Metrics of Eguchi-Hanson types with the negative constant scalar curvature
Junwen Chen, Xiao Zhang
We construct two types of Eguchi-Hanson metrics with the negative constant scalar curvature. The type I metrics are Kähler. The type II metrics are ALH whose total energy can be ne…
Positivity of the Bondi mass in Bondi's radiating spacetimes
Wen-ling Huang, Shing Tung Yau, Xiao Zhang
We find two conditions related to the {\it news functions} of the Bondi's radiating vacuum spacetimes. We provide a complete proof of the positivity of the Bondi mass by using Scho…