49 citations · 241 across the 11 of their papers we have counts for
11 papers · 1 filter
General-relativistic rotation laws in rotating fluid bodies
Patryk Mach, Edward Malec
We formulate new general-relativistic extensions of Newtonian rotation laws for self-gravitating stationary fluids. They have been used to re-derive, in the first post-Newtonian ap…
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.
Spherical scalar waves and gravity - red shift and backscattering
Edward Malec, Niall Ó Murchadha, Tadeusz Chmaj
This article investigates the interaction of a spherically symmetric massless scalar field with a strong gravitational field. It focuses on the propagation of waves in regions outs…
The constant mean curvature slices of asymptotically flat spherical spacetimes
Mirta Iriondo, Edward Malec, Niall Ó Murchadha
We investigate the formation of trapped surfaces in asymptotically flat spherical spacetimes, using constant mean curvature slicing.
Trapped surfaces in cosmological spacetimes
Edward Malec, Niall Ó Murchadha
We investigate the formation of trapped surfaces in cosmological spacetimes, using constant mean curvature slicing. Quantitative criteria for the formation of trapped surfaces demo…
Optical scalars in spherical spacetimes
E. Malec, N. Ó Murchadha
Consider a spherically symmetric spacelike slice through a spherically symmetric spacetime. One can derive a universal bound for the optical scalars on any such slice. The only req…
Event horizons and apparent horizons in spherically symmetric geometries
Edward Malec
Spherical configurations that are very massive must be surrounded by apparent horizons. These in turn, when placed outside a collapsing body, have a fixed area and must propagate o…
Trapped surfaces and the Penrose inequality in spherically symmetric geometries
Edward Malec, Niall Ó Murchadha
We demonstrate that the Penrose inequality is valid for spherically symmetric geometries even when the horizon is immersed in matter. The matter field need not be at rest. The only…
Trapped surfaces in spherical expanding open universes
Uwe Brauer, Edward Malec, Niall Ó Murchadha
Consider spherically symmetric initial data for a cosmology which, in the large, approximates an open Friedmann-Lema{\^ı}tre universe. Further assume that the data i…
Event horizons and apparent horizons in spherically symmetric geometries
Edward Malec
Spherical configurations that are very massive must be surrounded by apparent horizons. These in turn, when placed outside a collapsing body, must propagate outward with a velocity…
Trapped surfaces and spherical closed cosmologies
Edward Malec, Niall Ó Murchadha
This article gives necessary and sufficient conditions for the formation of trapped surfaces in spherically symmetric initial data defined on a closed manifold. Such trapped surfac…