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58 papers · 1 filter
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…
Existence and uniqueness of Bowen-York Trumpets
G. Waxenegger, R. Beig, N. Ó Murchadha
We prove the existence of initial data sets which possess an asymptotically flat and an asymptotically cylindrical end. Such geometries are known as trumpets in the community of nu…
General Relativistic versus Newtonian: a universality in radiation hydrodynamics
Edward Malec, Tomasz Rembiasz
We compare Newtonian and general relativistic descriptions of the stationary accretion of self-gravitating fluids onto compact bodies. Spherical symmetry and thin gas approximation…