107 citations · 895 across the 55 of their papers we have counts for
5 papers · 1 filter
Space-time diagrammatics
Piotr T. Chruściel, Christa R. Ölz, Sebastian J. Szybka
We introduce a new class of two-dimensional diagrams, the \emph{projection diagrams}, as a tool to visualize the global structure of space-times. We construct the diagrams for seve…
The existence theorem for the general relativistic Cauchy problem on the light-cone
Piotr T. Chruściel
We prove existence of solutions of the vacuum Einstein equations with initial data induced by a smooth metric on a light-cone.
Cauchy problem with data on a characteristic cone for the Einstein-Vlasov equations
Yvonne Choquet-Bruhat, Piotr T. Chruściel
We show how to solve the Cauchy problem for the Einstein-Vlasov equations with geometric initial data on a light-cone.
Initial data sets with ends of cylindrical type: II. The vector constraint equation
Piotr T. Chruściel, Rafe Mazzeo, Samuel Pocchiola
We construct solutions of the vacuum vector constraint equations on manifolds with cylindrical ends.
The many ways of the characteristic Cauchy problem
Piotr T. Chruściel, Tim-Torben Paetz
We review various aspects of the characteristic initial value problem for the Einstein equations, presenting new approaches to some of the issues arising.