2 citations · 4 across the 3 of their papers we have counts for
8 papers
From bending of light to positive mass: a non-PDE perspective
Xiaokai He, Xiaoning Wu, Naqing Xie
Penrose et al. investigated the physical incoherence of the spacetime with negative mass via the bending of light. Precise estimates of time-delay of null geodesics were needed and…
Quasi-local energy and Oppenheimer-Snyder collapse
Xiaokai He, Naqing Xie
We consider a scenario of the gravitational collapse of the Oppenheimer-Snyder dust cloud with spatially constant matter density. Given a closed two-surface within the star, three…
Hayward Quasilocal Energy of Tori
Xiaokai He, Naqing Xie
This paper is dedicated to the investigation of the positivity of the Hayward quasilocal energy of tori. Marginally trapped tori have nonnegative Hayward energy. We consider a scen…
On limit behavior of quasi-local mass for ellipsoids at spatial infinity
Xiaokai He, Leong-Fai Wong, Naqing Xie
We discuss the spatial limit of the quasi-local mass for certain ellipsoids in an asymptotically flat static spherically symmetric spacetime. These ellipsoids are not nearly round…
Singular Values of Riemann Curvature Tensor
Xiaokai He, Hua Xiang
We introduce the concept of singular values for the Riemann curvature tensor, a central mathematical tool in Einstein's theory of general relativity. We study the properties relate…
Relationship between Bondi-Sachs quantities and source of gravitational radiation in asymptotically de Sitter spacetime
Xiaokai He, Jiliang Jing, Zhoujian Cao
Gravitational radiation plays an important role in astrophysics. Based on the fact that our universe is expanding, the gravitational radiation when a positive cosmological constant…