241 citations · 3.1k across the 105 of their papers we have counts for
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Numerical simulations of generic singuarities
David Garfinkle
Numerical simulations of the approach to the singularity in vacuum spacetimes are presented here. The spacetimes examined have no symmetries and can be regarded as representing the…
Critical behavior in Ricci flow
David Garfinkle, James Isenberg
We use numerical techniques to study the formation of singularities in Ricci flow. Comparing the Ricci flows corresponding to a one parameter family of initial geometries on S^3 wi…
Critical collapse of a massive vector field
David Garfinkle, Robert Mann, Chris Vuille
We perform numerical simulations of the critical gravitational collapse of a massive vector field. The result is that there are two critical solutions. One is equivalent to the Cho…
High velocity spikes in Gowdy spacetimes
David Garfinkle, Marsha Weaver
We study the behavior of spiky features in Gowdy spacetimes. Spikes with velocity initially high are, generally, driven to low velocity. Let n be any integer greater than or equal…