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20132026
most citedSelf-consistent Effective-one-body theory for spinless binaries based on post-Minkowskian approximation I: Hamiltonian and decoupled equation for

24 citations · 119 across the 24 of their papers we have counts for

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math.GT2026

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…

gr-qc2026

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…

gr-qc2026

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.…

gr-qc2026

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…

math.AP2026

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…

math.DG2026

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…