18 citations · 59 across the 20 of their papers we have counts for
20 papers
Two rigidity results for surfaces in Schwarzschild spacetimes
Po-Ning Chen, Ye-Kai Wang
We prove two rigidity results for surfaces lying in the standard null hypersurfaces of Schwarzschild spacetime satisfying certain mean curvature type equations. The first is for th…
Transformation of mass-angular momentum aspect under BMS transformations
Po-Ning Chen, Mu-Tao Wang, Ye-Kai Wang +1
In this article, we present the definitive transformation formulae of the mass aspect and angular momentum aspect under BMS transformations. Two different approaches that lead to t…
A rigidity theorem for asymptotically flat static manifolds and its applications
Brian Harvie, Ye-Kai Wang
In this paper, we study the Minkowski-type inequality for asymptotically flat static manifolds with boundary and with dimension that was establishedby McCormi…
The mass of the static extension of small spheres
Brian Harvie, Ye-Kai Wang
We give a simple proof to the computation of ADM mass of the static extensions of small spheres in Wiygul \cite{W1, W2}. It makes use of the mass formula $m = \frac{1}{4π} \int_{\p…
Cross-Section Continuity of Definitions of Angular Momentum
Po-Ning Chen, Daniel Paraizo, Robert M. Wald +3
We introduce a notion of "cross-section continuity" as a criterion for the viability of definitions of angular momentum, , at null infinity: If a sequence of cross-sections, ${\…
Conserved quantities in general relativity -- the view from null infinity
Po-Ning Chen, Mu-Tao Wang, Ye-Kai Wang +1
In general relativity, an idealized distant observer is situated at future null infinity where light rays emitted from the source approach. This article concerns conserved quantiti…
Supertranslation invariance of angular momentum at null infinity in double null gauge
Po-Ning Chen, Mu-Tao Wang, Ye-Kai Wang +1
The supertranslation invariance of the Chen-Wang-Yau (CWY) angular momentum in the Bondi-Sachs formalism/gauge was ascertained by the authors in \cite{CKWWY_evol, CWWY_atmp}. In th…
BMS charges without supertranslation ambiguity
Po-Ning Chen, Mu-Tao Wang, Ye-Kai Wang +1
The asymptotic symmetry of an isolated gravitating system, or the Bondi-Metzner-Sachs (BMS) group, contains an infinite-dimensional subgroup of supertranslations. Despite decades o…
A note on the convex body isoperimetric conjecture in the plane
Bo-Hshiung Wang, Ye-Kai Wang
The convex body isoperimetric conjecture in the plane asserts that the least perimeter to enclose given area inside a unit disk is greater than inside any other convex set of area…
Evolution of angular momentum and center of mass at null infinity
Po-Ning Chen, Jordan Keller, Mu-Tao Wang +2
We study how conserved quantities such as angular momentum and center of mass evolve with respect to the retarded time at null infinity, which is described in terms of a Bondi-Sach…
Supertranslation invariance of angular momentum
Po-Ning Chen, Mu-Tao Wang, Ye-Kai Wang +1
LIGO's successful detection of gravitational waves has revitalized the theoretical understanding of the angular momentum carried away by gravitational radiation. An infinite dimens…
Quasi-local mass on unit spheres at spatial infinity
Po-Ning Chen, Mu-Tao Wang, Ye-Kai Wang +1
In this note, we compute the limit of the Wang-Yau quasi-local mass on unit spheres at spatial infinity of an asymptotically flat initial data set. Similar to the small sphere limi…
Quasi-local mass at null infinity in Bondi-Sachs coordinates
Po-Ning Chen, Mu-Tao Wang, Ye-Kai Wang +1
There are two important statements regarding the Trautman-Bondi mass at null infinity: one is the positivity, and the other is the Bondi mass loss formula, which are both global in…
Quasi-local mass at axially symmetric null infinity
Po-Ning Chen, Mu-Tao Wang, Ye-Kai Wang +1
We give a brief review of the definition of the Wang-Yau quasilocal mass and discuss the evaluation of which on surfaces of unit size at null infinity of an axi-symmetric spacetime…
Evaluating Quasi-local Angular Momentum and Center-of-Mass at Null Infinity
Jordan Keller, Ye-Kai Wang, Shing-Tung Yau
We calculate the limits of the quasi-local angular momentum and center-of-mass defined by Chen-Wang-Yau \cite{CWY} for a family of spacelike two-spheres approaching future null inf…
Quasi-local energy with respect to a static spacetime
Po-Ning Chen, Mu-Tao Wang, Ye-Kai Wang +1
This article considers the quasi-local energy in reference to a general static spacetime. We follow the approach developed by the authors in [19, 20, 7, 9] and define the quasi-loc…
Brendle's inequality on static manifolds
Xiaodong Wang, Ye-Kai Wang
We generalize Brendle's geometric inequality considered in \cite{B} to static manifolds. The inequality bounds the integral of inverse mean curvature of an embedded mean-convex hyp…
Minkowski formulae and Alexandrov theorems in spacetime
Mu-Tao Wang, Ye-Kai Wang, Xiangwen Zhang
The classical Minkowski formula is extended to spacelike codimension-two submanifolds in spacetimes which admit "hidden symmetry" from conformal Killing-Yano two-forms. As an appli…
On Isometric Embeddings into Anti-de Sitter Space-times
Ye-Kai Wang, Chen-Yun Lin
We show that any metric on with Gauss curvature admits a -isometric embedding into the hyperbolic space with sectional curvature . We also give a suf…
Rigidity of time-flat surfaces in the Minkowski spacetime
Po-Ning Chen, Mu-Tao Wang, Ye-Kai Wang
A time-flat condition on spacelike 2-surfaces in spacetime is considered here. This condition is analogous to constant torsion condition for curves in three dimensional space and h…