7 citations · 8 across the 4 of their papers we have counts for
5 papers
Analytic Brill wave initial data with trapped surfaces
Piotr Koc
Since Brill's work of 1959, the conformal factor of finite-amplitude Brill waves, the axisymmetric and time-symmetric vacuum initial data on that describe pure gravi…
Analytical solution of Brill waves
Piotr Koc
A class of analytical solutions of axially symmetric vacuum initial data for a self-gravitating system has been found. The active region of the constructed gravitational wave is a…
Evaluation of Bartnik's quasilocal mass function
Piotr Koc
Bartnik's definition of gravitational quasilocal energy is analyzed. For a wide class of systems Bartnik's function is given by the ADM mass of some vacuous extension. As an exampl…
Penrose Inequality for Gravitational Waves
Janusz Karkowski, Piotr Koc, Zdobyslaw Swierczynski
We investigate axially symmetric asymptotically flat vacuum self-gravitating system. A class of initial data with apparent horizon was numerically constructed. The examined solutio…
Condensation of Matter and Trapped Surfaces in Quasi-Polar Gauge
Piotr Koc
We continue the investigation of formation of trapped surfaces in strongly curved , conformally flat geometries. Initial data in quasi-polar gauges rather then maximal ones are con…