3 papers
math.DG2018
Stability of the Positive Mass Theorem for Axisymmetric Manifolds
Edward T. Bryden
Away from the central axis, we prove the stability of the Positive Mass Theorem in the sense for asymptotically flat axisymmetric manifolds with nonnegative scalar curvat…
gr-qc2018
The Positive Mass Theorem with Angular Momentum and Charge for Manifolds with Boundary
Edward T. Bryden, Marcus A. Khuri, Benjamin D. Sokolowsky
Motivated by the cosmic censorship conjecture in mathematical relativity, we establish the precise mass lower bound for an asymptotically flat Riemannian 3-manifold with nonnegativ…
gr-qc2016
The Area-Angular Momentum-Charge Inequality for Black Holes With Positive Cosmological Constant
Edward T. Bryden, Marcus A. Khuri
We establish the conjectured area-angular momentum-charge inequality for stable apparent horizons in the presence of a positive cosmological constant, and show that it is saturated…