1.8k citations · 2.8k across the 24 of their papers we have counts for
25 papers
Causal Propagation of Constraints in General Relativity
James W. York
In this paper, I demonstrate that the constraint functions are propagated by a first order symmetric (or symmetrizable) hyperbolic system whose characteristic cone is the light con…
Self-Renormalization of the Classical Quasilocal Energy
Andrew P. Lundgren, Bjoern S. Schmekel, James W. York
Pointlike objects cause many of the divergences that afflict physical theories. For instance, the gravitational binding energy of a point particle in Newtonian mechanics is infinit…
New Minimal Distortion Shift Gauge
Robert T. Jantzen, James W. York
Based on the recent understanding of the role of the densitized lapse function in Einstein's equations and of the proper way to pose the thin sandwich problem, a slight readjustmen…
Einstein Bianchi equations with sources
Yvonne Choquet-Bruhat, James W. York
In this article, dedicated to one of the best specialist of the FOSH systems, we couple the Bianchi equations with the equations satisfied by the dynamical acceleration of a charge…
Path Integral Over Black Hole Fluctuations
James W. York, Bjoern S. Schmekel
Evaluating a functional integral exactly over a subset of metrics that represent the quantum fluctuations of the horizon of a black hole, we obtain a Schroedinger equation in null…
Uniqueness and Non-uniqueness in the Einstein Constraints
Harald P. Pfeiffer, James W. York
The conformal thin sandwich (CTS) equations are a set of four of the Einstein equations, which generalize the Laplace-Poisson equation of Newton's theory. We examine numerically so…