160 citations · 1.3k across the 49 of their papers we have counts for
49 papers
Spherically symmetric Riemannian manifolds of constant scalar curvature and their conformally flat representations
Patryk Mach, Niall Ó Murchadha
All spherically symmetric Riemannian metrics of constant scalar curvature in any dimension can be written down in a simple form using areal coordinates. All spherical metrics are c…
Constant Mean Curvature Slices of the Reissner-Nordström Spacetime
Patrick Tuite, Niall Ó Murchadha
In order to specify a foliation of spacetime by spacelike hypersurfaces we need to place some restriction on the initial data and from this derive a way to calculate the lapse func…
Potentials for transverse trace-free tensors
Rory Conboye, Niall Ó Murchadha
In the initial conditions of the formalism for numerical relativity, the transverse and trace-free (TT) part of the extrinsic curvature plays a key role. We know that TT te…
Scaling up the extrinsic curvature in asymptotically flat gravitational initial data: Generating trapped surfaces
Shan Bai, Niall Ó Murchadha
The existence of the initial value constraints means that specifying initial data for the Einstein equations is non-trivial. The standard method of constructing initial data in the…
Scaling up the extrinsic curvature in gravitational initial data
Shan Bai, Niall Ó Murchadha
Vacuum solutions to the Einstein equations can be viewed as the interplay between the geometry and the gravitational wave energy content. The constraints on initial data reflect th…
Intrinsic time gravity and the Lichnerowicz-York equation
Niall Ó Murchadha, Chopin Soo, Hoi-Lai Yu
We investigate the effect on the Hamiltonian structure of general relativity of choosing an intrinsic time to fix the time slicing. 3-covariance with momentum constraint is maintai…