11 citations · 64 across the 22 of their papers we have counts for
26 papers
A Comparison Theorem For the Mass of ALE and ALF Toric 4-Manifolds
Aghil Alaee, Marcus Khuri, Hari Kunduri
We establish sharp lower bounds for the mass of asymptotically locally Euclidean (ALE) and asymptotically locally flat (ALF) toric 4-manifolds, in terms of equilibrium geometries c…
Stability of Positive Mass Theorem for Static Quasi-Local Energy of Compact (Locally) Hyperbolic Graphical Manifolds
Aghil Alaee, Jiusen Liu
In this paper, we consider compact graphical manifolds with boundary over (locally) hyperbolic static space. We prove the stability of the positive mass theorem with respect to the…
Boundary Behavior of Compact Manifolds With Scalar Curvature Lower Bounds and Static Quasi-Local Mass of Tori
Aghil Alaee, Pei-Ken Hung, Marcus Khuri
A classic result of Shi and Tam states that a 2-sphere of positive Gauss and mean curvature bounding a compact 3-manifold with nonnegative scalar curvature, must have total mean cu…
A Quasi-Local Mass
Aghil Alaee, Marcus Khuri, Shing-Tung Yau
We define a new gauge independent quasi-local mass and energy, and show its relation to the Brown-York Hamilton-Jacobi analysis. A quasi-local proof of the positivity, based on spa…
A Penrose-type inequality with angular momenta for black holes with 3-sphere horizon topology
Aghil Alaee, Hari K. Kunduri
We establish a Penrose-type inequality with angular momenta for four dimensional, biaxially symmetric, maximal, asymptotically flat initial data sets for the Einstein equ…
The Positive Energy Theorem for Asymptotically Hyperboloidal Initial Data Sets With Toroidal Infinity and Related Rigidity Results
Aghil Alaee, Pei-Ken Hung, Marcus Khuri
We establish the positive energy theorem and a Penrose-type inequality for 3-dimensional asymptotically hyperboloidal initial data sets with toroidal infinity, weakly trapped bound…