11 citations · 64 across the 22 of their papers we have counts for
6 papers · 1 filter
A localized spacetime Penrose inequality and horizon detection with quasi-local mass
Aghil Alaee, Martin Lesourd, Shing-Tung Yau
For an admissible class of smooth compact initial data sets with boundary, we prove a comparison theorem between the Wang/Liu-Yau quasi-local mass of the boundary and the Hawking m…
Stability of a quasi-local positive mass theorem for graphical hypersurfaces of Euclidean space
Aghil Alaee, Armando J. Cabrera Pacheco, Stephen McCormick
We present a quasi-local version of the stability of the positive mass theorem. We work with the Brown--York quasi-local mass as it possesses positivity and rigidity properties, an…
Geometric Inequalities for Quasi-Local Masses
Aghil Alaee, Marcus Khuri, Shing-Tung Yau
In this paper lower bounds are obtained for quasi-local masses in terms of charge, angular momentum, and horizon area. In particular we treat three quasi-local masses based on a Ha…
Positive mass theorem for initial data sets with corners along a hypersurface
Aghil Alaee, Shing-Tung Yau
We prove positive mass theorem with angular momentum and charges for axially symmetric, simply connected, maximal, complete initial data sets with two ends, one designated asymptot…
Existence and Uniqueness of Stationary Solutions in 5-Dimensional Minimal Supergravity
Aghil Alaee, Marcus Khuri, Hari Kunduri
We study the problem of stationary bi-axially symmetric solutions of the -dimensional minimal supergravity equations. Essentially all possible solutions with nondegenerate horiz…
Asymptotically flat extensions with charge
Aghil Alaee, Armando J. Cabrera Pacheco, Carla Cederbaum
The Bartnik mass is a notion of quasi-local mass which is remarkably difficult to compute. Mantoulidis and Schoen [2016] developed a novel technique to construct asymptotically fla…