922 citations · 7.2k across the 348 of their papers we have counts for
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Boundary-Geometry-Driven Black Hole Formation in Vacuum
Dipanjan Dey, Puskar Mondal, Shing-Tung Yau
We identify a boundary-geometry-driven mechanism for the dynamical formation of marginally outer trapped surfaces (MOTSs) in vacuum general relativity. Mild three-dimensional aniso…
Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data
Nikolaos Athanasiou, Puskar Mondal, Shing-Tung Yau
We establish a trapped surface formation theorem for the spherically symmetric Einstein Yang Mills equations in a double-null gauge. The theorem concerns characteristic initial dat…
Dynamical Formation of Black Holes due to Boundary Effect in Vacuum Gravity
Puskar Mondal, Shing-Tung Yau
We prove the dynamical formation of a marginally outer trapped surface in pure vacuum spacetime from smooth asymptotically flat Cauchy data which initially contain no MOTS. The mec…
A proposal of quasi-local mass for 2-surfaces of timelike mean curvature
Bowen Zhao, Shing-Tung Yau, Lars Andersson
A quasi-local mass, typically defined as an integral over a spacelike -surface , should encode information about the gravitational field within a finite, extended region boun…
A new conformal quasi-local energy in general relativity
Puskar Mondal, Shing-Tung Yau
We construct new conserved quasi-local energies in general relativity using the formalism developed by \cite{CWY}. In particular, we use the optimal isometric embedding defined in…
Strong field behavior of Wang-Yau Quasi-local energy
Bowen Zhao, Lars Andersson, Shing-Tung Yau
We look at the strong field behavior of the Wang-Yau quasi-local energy. In particular, we examine the limit of the Wang-Yau quasi-local energy as the defining spacelike -surfac…
Some Remarks on Wang-Yau Quasi-Local Mass
Bowen Zhao, Lars Andersson, Shing-Tung Yau
We review Wang-Yau quasi-local definitions along the line of gravitational Hamiltonian. This makes clear the connection and difference between Wang-Yau definition and Brown-York or…
Geometric Inequality for Axisymmetric Black Holes With Angular Momentum
Xuefeng Feng, Ruodi Yan, Sijie Gao +2
In an effort to understand the Penrose inequality for black holes with angular momentum, an axisymmetric, vacuum, asymptotically Euclidean initial data set subject to certain quasi…
Properties of Quasi-local mass in binary black hole mergers
Daniel Pook-Kolb, Bowen Zhao, Lars Andersson +2
Identifying a general quasi-local notion of energy-momentum and angular momentum would be an important advance in general relativity with potentially important consequences for mat…
New solution of Einstein-Yang-Mills equations
Yuewen Chen, Jie Du, Shing-Tung Yau
In this paper, we show the numerical solution for spherically symmetric SU(2) EinsteinYang-Mills (EYM) equations. We show the existence of entropy weak solution for EYM.
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…
Global exterior stability of the Minkowski space: coupled Einstein-Yang-Mills perturbations
Puskar Mondal, Shing-Tung Yau
Here we prove a global gauge-invariant radiation estimates for the perturbations of the dimensional Minkowski spacetime in the presence of Yang-Mills sources. In particular,…
Stable regular solution of Einstein-Yang-Mills equation
Yuewen Chen, Shing-Tung Yau
In this letter, we find the first dynamically stable non-singular solution spherically symmetric SU(2) Einstein-Yang-Mills equation. This solutions is regular at r=0 and asymptotic…
Stable Black Hole with Yang-Mills Hair
Yuewen Chen, Jie Du, Shing-Tung Yau
We present stable solution of static spherically symmetric Einstein-Yang-Mills equations with the SU(2) gauge group. This solution is asymptotically flat and regular at r = 0 and w…
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, ${\…
Einstein-Yang-Mills equations in the double null framework
Puskar Mondal, Shing-Tung Yau
We prove a semi-global gauge-invariant estimate for the solutions of the characteristic initial value problem associated with the coupled Einstein-Yang-Mills equations. In particul…
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…
Aspects of Quasi-local energy for gravity coupled to gauge fields
Puskar Mondal, Shing-Tung Yau
We study the aspects of quasi-local energy associated with a surface bounding a space-like domain of a physical dimensional spacetime in the regime of gravity cou…
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…
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 near the Singularity, the Event Horizon and the Null Infinity of Black Hole Spacetimes
Nishanth Gudapati, Shing-Tung Yau
The behaviour of geometric quantities close to geometric pathologies of a spacetime is relevant to deduce the physical behaviour of the system. In this work, we compute the quasi-l…
A No-Boundary Method for Numerical Relativity
Lydia Bieri, David Garfinkle, Shing-Tung Yau
We propose a method for numerical relativity in which the spatial grid is finite and no outer boundary condition is needed. As a "proof of concept" we implement this method for the…