63 citations · 340 across the 32 of their papers we have counts for
4 papers · 1 filter
Models for Self-Gravitating Photon Shells and Geons
Håkan Andréasson, David Fajman, Maximilian Thaller
We prove existence of spherically symmetric, static, self-gravitating photon shells as solutions to the massless Einstein-Vlasov system. The solutions are highly relativistic in th…
A vector field method for relativistic transport equations with applications
David Fajman, Jérémie Joudioux, Jacques Smulevici
We adapt the vector field method of Klainerman to the study of relativistic transport equations. First, we prove robust decay estimates for velocity averages of solutions to the re…
Courant-sharp eigenvalues of Neumann 2-rep-tiles
Ram Band, Michael Bersudsky, David Fajman
We find the Courant-sharp Neumann eigenvalues of the Laplacian on some 2-rep-tile domains. In the domains we consider are the isosceles right triangle and the rectangle wi…
Stable fixed points of the Einstein flow with positive cosmological constant
David Fajman, Klaus Kroencke
We prove nonlinear stability for a large class of solutions to the Einstein equations with a positive cosmological constant and compact spatial topology in arbitrary dimensions, wh…