6 citations · 13 across the 6 of their papers we have counts for
6 papers
The Einstein equations and multipole moments at null infinity
Jacek Tafel
We consider vacuum metrics admitting conformal compactification which is smooth up to the scri . We write metric in the Bondi-Sachs form and expand it into power ser…
The Penrose inequality for perturbations of the Schwarzschild initial data
Jarosław Kopiński, Jacek Tafel
We show that in the conformally flat case the Penrose inequality is satisfied for the Schwarzschild initial data with a small addition of the axially symmetric traceless exterior c…
All transverse and TT tensors in flat spaces of any dimension
J. Tafel
We present general formulas for transverse and transverse-traceless (TT) symmetric tensors in flat spaces. TT tensors in conformally flat spaces can be obtained by means of a confo…
A lower bound of the Trautman-Bondi energy
Jacek Tafel
We obtain an energy inequality on null surfaces in the Bondi-Sachs formalism. We show that for a sufficiently regular event horizon there is an affine radial coordina…
On the energy of a null cone
Jacek Tafel
We derive a formula for the Bondi mass aspect in terms of asymptotic data of the Bondi-Sachs metric in the affine gauge. We prove the positivity of the total energy of a regular nu…
Self-dual metrics in Husain's approach
M. Jakimowicz, J. Tafel
We show that Husain's reduction of the self-dual Einstein equations is equivalent to the Plebański equation. The Bäcklund transformation between these equations is found. Contact s…