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From the 1 of 9 linked papers with an AI index.

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9 papers

gr-qc2026

Kerr Black Hole Uniqueness

Qing Han, Marcus Khuri, Gilbert Weinstein +1

We prove the black hole uniqueness conjecture in the axially symmetric, stationary, vacuum setting: there is no regular asymptotically flat configuration with more than one horizon…

math.DG2026

A Comparison Theorem For the Mass of ALE and ALF Toric 4-Manifolds

Aghil Alaee, Marcus Khuri, Hari Kunduri

The paper proves sharp lower bounds for the mass of asymptotically locally Euclidean (ALE) and asymptotically locally flat (ALF) toric 4‑manifolds with nonnegative scalar curvature…

math.DG2026

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities

Marcus Khuri, Jian Wang, Jinmin Wang

We prove the Riemannian positive mass theorem in all dimensions for asymptotically flat -metrics with subcritical singular sets. More precisely, we consider complete asym…

gr-qc2026

Spacetime Bartnik Mass Positivity and Temporal Monotonicity for Black Holes

Lars Andersson, Marcus Khuri, Marc Mars +1

We define a quasilocal mass of Bartnik type, and establish its positivity and temporal monotonicity properties for two classes of domains associated with black holes. More precisel…

math.DG2026

The Hyperboloidal and Spacetime Positive Mass Theorem in All Dimensions

Sven Hirsch, Marcus Khuri, Martin Lesourd +1

Using the recent work of Brendle--Wang on the Riemannian positive mass theorem, we prove the spacetime positive mass theorem for asymptotically flat and asymptotically hyperboloida…

math.DG2025

Mass Lower Bounds for Asymptotically Locally Flat Manifolds

Marcus Khuri, Jian Wang

We establish positive mass type theorems for asymptotically locally flat (ALF) manifolds, which have asymptotic ends modeled on circle bundles over a Euclidean base with fibers of…