24 citations · 119 across the 24 of their papers we have counts for
27 papers
Thurston's sphere packing on 3-dimensional manifolds, II
Xiaokai He, Xu Xu, Chao Zheng
In this paper, we study the rigidity of Thurston's hyperbolic sphere packings on 3-dimensional manifolds. We prove that Thurston's hyperbolic sphere packing is locally determined b…
Effective metric for bound state in an effective-one-body theory based on the third-post-Minkowskian approximation
Hanjun Zou, Sheng Long, Xiaokai He +1
The effective-one-body (EOB) framework, originally formulated within the post-Newtonian (PN) expansion, is central to modeling and interpreting gravitational-wave signals. Recent d…
Constructing the canonical harmonic coordinates of Kerr metric to the fourth post-Minkowskian order
Zizheng Xing, Xiaokai He, Zhoujian Cao
In this paper we construct the canonical harmonic coordinates of the Kerr metric within the multipolar post-Minkowskian (MPM) formalism to the fourth post-Minkowskian (4PM) order.…
The first law of black hole mechanics in conformal Einstein-Power-Yang-Mills theory
Xiaokai He, Xiaoning Wu, Naqing Xie
In the framework of the Iyer-Wald formalism, the first law of black hole mechanics is examined within the context of conformal Einstein-power-Yang-Mills (CEPYM) theory. By comparin…
Spectral analysis of small amplitude periodic -Novikov equation under transverse perturbations
Lin Lu, Xiaokai He, Aiyong Chen
This paper is devoted to the transverse stability problem for small-amplitude periodic traveling waves of the -Novikov equation, which arises as a two-dimensional extension of t…
The total geodesic curvature and the -dimensional hyperbolic mass
Xiaokai He, Xiaoning Wu, Naqing Xie
In this paper, we derive a novel geometric inequality involving the total geodesic curvature, serving as an analogue of the Brown-York mass in the setting of -dimensional gr…
On the transverse-traceless gauge condition when matters are presented
Yadong Xue, Xiaokai He, Zhoujian Cao
The transverse-traceless gauge condition is an important concept in the theory of gravitational wave. It is well known that vacuum is one of the key conditions to guarantee the exi…
Stability of smooth periodic travelling waves in the Dullin-Gottwald-Holm equation
Xiaokai He, Aiyong Chen, Gengrong Zhang
The existence of smooth periodic traveling solutions in the Dullin-Gottwald-Holm (DGH) equation and the monotonicity of the period function are clarified. By introducing two suitab…
The effect of the gravitational constant variation on the propagation of gravitational waves
Jiachen An, Yadong Xue, Zhoujian Cao +2
Since the first detection of gravitational waves, they have been used to investigate various fundamental problems, including the variation of physical constants. Regarding the grav…
Lorentz transformation of three dimensional gravitational wave tensor
Xiaokai He, Xiaolin Liu, Zhoujian Cao
Recently there are more and more interest on the gravitational wave of moving sources. This introduces a Lorentz transformation problem of gravitational wave. Although Bondi-Metzne…
Accurate calculation of gravitational wave memory
Xiaolin Liu, Xiaokai He, Zhoujian Cao
Gravitational wave memory is an important prediction of general relativity. The detection of the gravitational wave memory can be used to test general relativity and to deduce the…
Gravitational wave memory produced by cosmic background radiation
Zhoujian Cao, Xiaokai He, Zhi-Chao Zhao
It is well known that energy fluxes will produce gravitational wave memory. The gravitational wave memory produced by background including cosmic microwave background (CMB), cosmic…
On the angular momentum of compact binary coalescence
Xiaokai He, Xiaoning Wu, Naqing Xie
The supertranslation ambiguity issue of angular momentum is a long-standing problem in general relativity. Recently, there appeared the first definition of angular momentum at null…
Self-consistent Effective-one-body theory for spinless binaries based on post-Minkowskian approximation I: Hamiltonian and decoupled equation for
Jiliang Jing, Shuai Chen, Manman Sun +3
To build a self-consistent effective-one-body (EOB) theory, in which the Hamiltonian, radiation-reaction force and waveform for the "plus" and "cross" modes of the gravitational wa…
Gravitational wave memory of the binary black hole events in GWTC-2
Zhi-Chao Zhao, Xiaolin Liu, Zhoujian Cao +1
Gravitational wave (GW) memory is an important prediction of general relativity. Existing works on the GW memory detection focus on the waveform analysis. It is hard for waveform a…
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…
Thurston's sphere packings on 3-dimensional manifolds, I
Xiaokai He, Xu Xu
Thurston's sphere packing on a 3-dimensional manifold is a generalization of Thusrton's circle packing on a surface, the rigidity of which has been open for many years. In this pap…
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…
Note on the gravitational and electromagnetic radiation for the Einstein-Maxwell equations with cosmological constant
Xiaokai He, Zhoujian Cao, Jiliang Jing
In the middle of last century, Bondi and his coworkers proposed an out going boundary condition for the Einstein equations. Based on such boundary condition the authors theoretical…
Consistency between dynamical and thermodynamical stabilities for perfect fluid in theories
Xiongjun Fang, Xiaokai He, Jiliang Jing
We investigate the stability criterions for perfect fluid in theories which is an important generalization of general relativity. Firstly, using Wald's general variation pri…