7 citations · 41 across the 15 of their papers we have counts for
15 papers
The Einstein metrics with smooth scri
Jacek Tafel
We consider solutions of the Einstein equations with cosmological constant admitting conformal compactification with smooth scri . Metrics are written in t…
The Penrose inequality for nonmaximal perturbations of the Schwarzschild initial data
Jarosław Kopiński, Jacek Tafel
We show that the Penrose inequality is satisfied for a class of conformally flat axially symmetric nonmaximal perturbations of the Schwarzschild data. A role of horizon is played b…
Covariant description of isothermic surfaces
Jacek Tafel
We present a covariant formulation of the Gauss-Weingarten equations and the Gauss-Mainardi-Codazzi equations for surfaces in 3-dimensional curved spaces. We derive a coordinate in…
Decoupling the momentum constraints in general relativity
Jacek Tafel
We present a 2+1 decomposition of the vacuum initial conditions in general relativity. For a constant mean curvature one of the momentum constraints decouples in quasi isotropic co…
Exact solutions and their interpretation - session A1
Jiří Bičák, Jacek Tafel
We report on the oral contributions and give a list of posters presented in the session A1 "Exact solutions and their interpretation" at the 20th International Conference on Genera…
New solutions of initial conditions in general relativity
J. Tafel, M. Jóźwikowski
We find new classes of exact solutions of the initial momentum constraint for vacuum Einstein's equations. Considered data are either invariant under a continuous symmetry or they…