4 papers
math.DG2025
On the geometry and uniqueness of asymptotically locally hyperbolic static vacuum black holes
Brian Harvie, Ye-Kai Wang
We establish several geometric characterizations and rigidity results for 3-dimensional asymptotically locally hyperbolic (ALH) static spaces with horizon boundary. Notably, a 3-di…
gr-qc2024
A Penrose-type inequality for static spacetimes
Brian Harvie
We establish a lower bound on the total mass of the time slices of (n + 1)-dimensional asymptotically flat standard static spacetimes under the timelike convergence condition. The…
math.DG2024
On weak inverse mean curvature flow and Minkowski-type inequalities in hyperbolic space
Brian Harvie
We prove that a proper weak solution to inverse mean curvature flow in , , is smooth and star-shaped by the time \…
math.DG2024
Quasi-spherical metrics and the static Minkowski inequality
Brian Harvie, Ye-Kai Wang
We prove that equality within the Minkowski inequality for asymptotically flat static manifolds is achieved only by slices of Schwarzschild space.