60 citations · 402 across the 74 of their papers we have counts for
5 papers · 2 filters
Asymptotic Analysis of Harmonic Maps With Prescribed Singularities
Qing Han, Marcus Khuri, Gilbert Weinstein +1
This is the first in a series of two papers to establish the mass-angular momentum inequality for multiple black holes. We study singular harmonic maps from domains of 3-dimensiona…
Rigid comparison geometry for Riemannian bands and open incomplete manifolds
Sven Hirsch, Demetre Kazaras, Marcus Khuri +1
Comparison theorems are foundational to our understanding of the geometric features implied by various curvature constraints. This paper considers manifolds with a positive lower b…
Gravitational Solitons and Complete Ricci Flat Riemannian Manifolds of Infinite Topological Type
Marcus Khuri, Martin Reiris, Gilbert Weinstein +1
We present several new space-periodic solutions of the static vacuum Einstein equations in higher dimensions, both with and without black holes, having Kasner asymptotics. These la…
The Geometry and Topology of Stationary Multi-Axisymmetric Vacuum Black Holes in Higher Dimensions
Vishnu Kakkat, Marcus Khuri, Jordan Rainone +1
Extending recent work in 5 dimensions, we prove the existence and uniqueness of solutions to the reduced Einstein equations for vacuum black holes in -dimensional spacetimes…
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…