8 citations · 8 across the 1 of their papers we have counts for
9 papers
Slowly expanding stable dust spacetimes
David Fajman, Maximilian Ofner, Zoe Wyatt
We establish the future nonlinear stability of a large class of FLRW models as solutions to the Einstein-Dust system. We consider the case of a vanishing cosmological constant, whi…
Averaging with a time-dependent perturbation parameter
David Fajman, Gernot Heißel, Jin Woo Jang
Motivated by recent problems in mathematical cosmology, in which temporal averaging methods are applied in order to analyze the future asymptotics of models which exhibit oscillato…
Stabilizing relativistic fluids on spacetimes with non-accelerated expansion
David Fajman, Todd A. Oliynyk, Zoe Wyatt
We establish global regularity and stability for the irrotational relativistic Euler equations with equation of state , where , for small initial…
On the oscillations and future asymptotics of locally rotationally symmetric Bianchi type III cosmologies with a massive scalar field
David Fajman, Gernot Heißel, Maciej Maliborski
We analyse spatially homogenous cosmological models of locally rotationally symmetric Bianchi type III with a massive scalar field as matter model. Our main result concerns the fut…
Isotropization of Slowly Expanding Spacetimes
Hamed Barzegar, David Fajman, Gernot Heißel
We show that the homogeneous, massless Einstein-Vlasov system with toroidal spatial topology and diagonal Bianchi type I symmetry for initial data close to isotropic data isotropiz…
Kantowski-Sachs cosmology with Vlasov matter
David Fajman, Gernot Heißel
We analyse the Kantowski-Sachs cosmologies with Vlasov matter of massive and massless particles using dynamical systems analysis. We show that generic solutions are past and future…