99 citations · 687 across the 54 of their papers we have counts for
7 papers · 1 filter
On long-time existence for the flow of static metrics with rotational symmetry
L. Gulcev, T. A. Oliynyk, E. Woolgar
B List has proposed a geometric flow whose fixed points correspond to solutions of the static Einstein equations of general relativity. This flow is now known to be a certain Hamil…
Cosmological post-Newtonian expansions to arbitrary order
Todd A. Oliynyk
We prove the existence of a large class of one parameter families of solutions to the Einstein-Euler equations that depend on the singular parameter $\ep=v_T/c$ $(0<\ep < \ep_0)$,…
Existence of families of spacetimes with a Newtonian limit
Todd A. Oliynyk, Bernd Schmidt
Jürgen Ehlers developed \emph{frame theory} to better understand the relationship between general relativity and Newtonian gravity. Frame theory contains a parameter , which can…
The fast Newtonian limit for perfect fluids
Todd A. Oliynyk
We prove the existence of a large class of dynamical solutions to the Einstein-Euler equations for which the fluid density and spatial three-velocity converge to a solution of the…
A rigorous formulation of the cosmological Newtonian limit without averaging
Todd A. Oliynyk
We prove the existence of a large class of one-parameter families of cosmological solutions to the Einstein-Euler equations that have a Newtonian limit. This class includes solutio…
Static Spherically Symmetric Solutions of the SO(5) Einstein Yang-Mills Equations
Robert A. Bartnik, Mark Fisher, Todd A. Oliynyk
Globally regular (ie. asymptotically flat and regular interior), spherically symmetric and localised ("particle-like") solutions of the coupled Einstein Yang-Mills (EYM) equations…