86 citations · 240 across the 11 of their papers we have counts for
11 papers
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…
A note on static metrics
Robert Bartnik, Paul Tod
Conditions are given which, subject to a genericity condition on the Ricci tensor, are both necessary and sufficient for a 3-metric to arise from a static spacetime metric.
Spherically symmetric dynamical horizons
Robert Bartnik, Jim Isenberg
We determine sufficient and necessary conditions for a spherically symmetric initial data set to satisfy the dynamical horizon conditions in the spacetime development. The constrai…
The Constraint Equations
Robert Bartnik, Jim Isenberg
We review the properties of the constraint equations, from their geometric origin in hypersurface geometry through to their roles in the Cauchy problem and the Hamiltonian formulat…
Phase space for the Einstein equations
Robert Bartnik
A Hilbert manifold structure is described for the ADM phase space of asymptotically flat initial data with local Sobolev regularity. Solutions of the constr…
Boundary value problems for Dirac--type equations, with applications
P. T. Chrusciel, R. Bartnik
We prove regularity for a class of boundary value problems for first order elliptic systems, with boundary conditions determined by spectral decompositions, under coefficient diffe…