156 citations · 207 across the 9 of their papers we have counts for
4 papers · 1 filter
Non CMC Conformal Data Sets Which Do Not Produce Solutions of the Einstein Constraint Equations
James Isenberg, Niall Ó Murchadha
The conformal formulation provides a method for constructing and parametrizing solutions of the Einstein constraint equations by mapping freely chosen sets of conformal data to sol…
Embedding spherical spacelike slices in a Schwarzschild solution
Niall Ó Murchadha, Krzysztof Roszkowski
Given a spherical spacelike three-geometry, there exists a very simple algebraic condition which tells us whether, and in which, Schwarzschild solution this geometry can be smoothl…
Constant mean curvature slices in the extended Schwarzschild solution and collapse of the lapse: Part I
Edward Malec, Niall Ó Murchadha
We give a detailed description of the constant mean curvature foliations in the Schwarzschild solution; show that the lapse collapses exponentially, and compute the exponent.
General Relativity from the three dimensional linear group
Niall O Murchadha
This letter describes a novel derivation of general relativity by considering the (non)self-consistency of theories whose Hamiltonians are constraints. The constraints, from Hamilt…