6 citations · 15 across the 4 of their papers we have counts for
5 papers
Topological Signals of Singularities in Ricci Flow
Paul M. Alsing, Howard A. Blair, Matthew Corne +4
We implement methods from computational homology to obtain a topological signal of singularity formation in a selection of geometries evolved numerically by Ricci flow. Our approac…
Equivalence of Simplicial Ricci Flow and Hamilton's Ricci Flow for 3D Neckpinch Geometries
Warner A. Miller, Paul M. Alsing, Matthew Corne +1
Hamilton's Ricci flow (RF) equations were recently expressed in terms of the edge lengths of a d-dimensional piecewise linear (PL) simplicial geometry, for d greater than or equal…
Simplicial Ricci Flow: An Example of a Neck Pinch Singularity in 3D
Paul M. Alsing, Warner A. Miller, Matthew Corne +4
We examine a Type-1 neck pinch singularity in simplicial Ricci flow (SRF) for an axisymmetric piecewise flat 3-dimensional geometry with 3-sphere topology. SRF was recently introdu…
Binding in charged spherically symmetric objects
Matthew Corne, Arkady Kheyfets, Jennifer Piasio +1
We consider the subject of self--binding in static, spherically symmetric objects consisting of a charged fluid. We have shown previously that in the case of a perfect fluid, only…
Non--Localizability of Electric Coupling and Gravitational Binding of Charged Objects
Matthew Corne, Arkady Kheyfets, Warner Miller
The energy--momentum tensor in general relativity contains only localized contributions to the total energy--momentum. Here, we consider a static, spherically symmetric object cons…