60 citations · 402 across the 74 of their papers we have counts for
5 papers · 2 filters
The Hoop Conjecture in Spherically Symmetric Spacetimes
Marcus A. Khuri
We give general sufficient conditions for the existence of trapped surfaces due to concentration of matter in spherically symmetric initial data sets satisfying the dominant energy…
A Jang Equation Approach to the Penrose Inequality
Hubert L. Bray, Marcus A. Khuri
We introduce a generalized version of the Jang equation, designed for the general case of the Penrose Inequality in the setting of an asymptotically flat space-like hypersurface of…
A Penrose-Like Inequality for General Initial Data Sets
Marcus A. Khuri
We establish a Penrose-Like Inequality for general (not necessarily time symmetric) initial data sets of the Einstein equations which satisfy the dominant energy condition. More pr…
On the Bartnik extension problem for the static vacuum Einstein equations
Michael T. Anderson, Marcus A. Khuri
We develop a framework for understanding the existence of asymptotically flat solutions to the static vacuum Einstein equations with prescribed boundary data consisting of the indu…
P.d.e.'s which imply the Penrose conjecture
Hubert L. Bray, Marcus A. Khuri
In this paper, we show how to reduce the Penrose conjecture to the known Riemannian Penrose inequality case whenever certain geometrically motivated systems of equations can be sol…