7 citations · 7 across the 2 of their papers we have counts for
4 papers
An invariant measure of deviation from Petrov type D at the level of initial data
Edgar Gasperin, Jarrod L. Williams
In this article, we describe a simple covariant characterisation of initial data sets which give rise to Petrov type D vacuum spacetime developments. As an application, we derive a…
Almost-Killing equation: Stability, hyperbolicity, and black hole Gauss law
Justin C. Feng, Edgar Gasperín, Jarrod L. Williams
We examine the Hamiltonian formulation and hyperbolicity of the almost-Killing equation (AKE). We find that for all but one parameter choice, the Hamiltonian is unbounded, and in s…
A perturbative approach to the construction of initial data on compact manifolds
J. A. Valiente Kroon, J. L. Williams
We discuss the implementation, to the case of compact manifolds, of the perturbative method of Friedrich-Butscher for the construction of solutions to the vaccum Einstein constrain…
The conformal Killing spinor initial data equations
Edgar Gasperin, Jarrod L. Williams
We obtain necessary and sufficient conditions for an initial data set for the vacuum conformal Einstein field equations to give rise to a spacetime development in possession of a K…