27 citations · 98 across the 17 of their papers we have counts for
5 papers · 1 filter
On the charged Riemannian Penrose inequality with charged matter
Stephen McCormick
Throughout the literature on the charged Riemannian Penrose inequality, it is generally assumed that there is no charged matter present; that is, the electric field is divergence-f…
The Hilbert manifold of asymptotically flat metric extensions
Stephen McCormick
In [Comm. Anal. Geom., 13(5):845-885, 2005.], Bartnik described the phase space for the Einstein equations, modelled on weighted Sobolev spaces with local regularity $(g,π)\in H^2\…
A note on mass-minimising extensions
Stephen McCormick
A conjecture related to the Bartnik quasilocal mass, is that the infimum of the ADM energy, over an appropriate space of extensions to a compact 3-manifold with boundary, is realis…
First Law of Black Hole Mechanics as a Condition for Stationarity
Stephen McCormick
In earlier work [arXiv:1302.1237], we provided a Hilbert manifold structure for the phase space for the Einstein-Yang-Mills equations, and used this to prove a condition for initia…
The Phase Space for the Einstein-Yang-Mills Equations and the First Law of Black Hole Thermodynamics
Stephen McCormick
We use the techniques of Bartnik (2005) to show that the space of solutions to the Einstein-Yang-Mills constraint equations on an asymptotically at manifold with one end and zero b…