111 citations · 762 across the 48 of their papers we have counts for
13 papers · 1 filter
The initial boundary value problem and quasi-local Hamiltonians in General Relativity
Zhongshan An, Michael T. Anderson
We discuss relations between the initial boundary value problem (IBVP) and quasi-local Hamiltonians in GR. The latter have traditionally been based on Dirichlet boundary conditions…
On the conformal method for the Einstein constraint equations
Michael T. Anderson
In this work, we use the global analysis and degree-theoretic methods introduced by Smale to study the existence and multiplicity of solutions of the vacuum Einstein constraint equ…
Local existence and uniqueness for exterior static vacuum Einstein metrics
Michael T Anderson
We study solutions to the static vacuum Einstein equations on exterior domains with prescribed metric and mean curvature on the inner boundary. It is proved that for any such bound…
On quasi-local Hamiltonians in General Relativity
Michael T. Anderson
We analyse the definition of quasi-local energy in GR based on a Hamiltonian analysis of the Einstein-Hilbert action initiated by Brown-York. The role of the constraint equations,…
Uniqueness of static vacuum Einstein metrics and the Bartnik quasi-local mass
Michael T. Anderson, Marcus A. Khuri
We analyse the issue of uniqueness of solutions of the static vacuum Einstein equations with prescribed geometric or Bartnik boundary data. Large classes of examples are constructe…
Existence and stability of even dimensional asymptotically de Sitter spaces
Michael T. Anderson
A new proof of Friedrich's theorem on the existence and stability of asymptotically de Sitter spaces in 3+1 dimensions is given, which extends to all even dimensions. In addition,…