53 citations · 236 across the 22 of their papers we have counts for
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Characteristic initial data and smoothness of Scri. II. Asymptotic expansions and construction of conformally smooth data sets
Tim-Torben Paetz
We derive necessary-and-sufficient conditions on characteristic initial data for Friedrich's conformal field equations in dimensions to have no logarithmic terms in an asympt…
Killing Initial Data on spacelike conformal boundaries
Tim-Torben Paetz
We analyze Killing Initial Data on Cauchy surfaces in conformally rescaled vacuum space-times satisfying Friedrich's conformal field equations. As an application, we derive the KID…
Characteristic initial data and smoothness of Scri. I. Framework and results
Piotr T. Chruściel, Tim-Torben Paetz
We analyze the Cauchy problem for the vacuum Einstein equations with data on a complete light-cone in an asymptotically Minkowskian space-time. We provide conditions on the free in…
The mass of light-cones
Piotr T. Chruściel, Tim-Torben Paetz
We give an elementary proof of positivity of total gravitational energy in space-times containing complete smooth light-cones.