111 citations · 762 across the 48 of their papers we have counts for
51 papers
The Bartnik quasi-local mass conjectures
Michael T. Anderson
This paper is a tribute to Robert Bartnik and his work and conjectures on quasi-local mass. We present a framework in which to clearly analyse Bartnik's static vacuum extension con…
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 initial boundary value problem for the vacuum Einstein equations and geometric uniqueness
Zhongshan An, Michael T. Anderson
We formulate an initial boundary value problem (IBVP) for the vacuum Einstein equations by describing the boundary conditions of a spacetime metric in its associated gauge. This ga…
Recent progress and problems on the Bartnik quasi-local mass
Michael T. Anderson
This paper surveys recent progress on issues related to the Bartnik quasi-local mass . In addition, we formulate a number of new problems and conjectures regarding foundationa…
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…
The Nirenberg problem of prescribed Gauss curvature on
Michael T. Anderson
We introduce a new perspective on the classical Nirenberg problem of understanding the possible Gauss curvatures of metrics on conformal to the round metric. A key tool is…