22 citations · 63 across the 4 of their papers we have counts for
4 papers
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…
Mass and 3-metrics of non-negative scalar curvature
Robert Bartnik
Physicists believe, with some justification, that there should be a correspondence between familiar properties of Newtonian gravity and properties of solutions of the Einstein equa…