78 citations · 737 across the 62 of their papers we have counts for
5 papers · 1 filter
The general Penrose inequality: lessons from numerical evidence
Janusz Karkowski, Edward Malec
Formulation of the Penrose inequality becomes ambiguous when the past and future apparent horizons do cross. We test numerically several natural possibilities of stating the inequa…
On conformally flat initial data for Einstein equations
Janusz Karkowski, Edward Malec
We describe conformally flat initial data, with explicitly given analytic extrinsic curvature solving the vacuum momentum constraints. They follow from a solution of Dain and Fried…
The Jang equation, apparent horizons, and the Penrose inequality
Edward Malec, Niall Ó Murchadha
The Jang equation in the spherically symmetric case reduces to a first order equation. This permits an easy analysis of the role apparent horizons play in the (non)existence of sol…
Binding energy of static perfect fluids
Janusz Karkowski, Edward Malec
Corrected misprints and omissions.
Note on the luminosity distance
Edward Malec, Grzegorz Wylȩżek, Janusz Karkowski
We re-derive a formula relating the areal and luminosity distances, entirely in the framework of the classical Maxwell theory, assuming a geometric-optics type condition.