240 citations · 3.3k across the 90 of their papers we have counts for
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An extension principle for the Einstein-Vlasov system in spherical symmetry
Mihalis Dafermos, Alan Rendall
We prove that "first singularities" in the non-trapped region of the maximal development of spherically symmetric asymptotically flat data for the Einstein-Vlasov system must neces…
Mathematical properties of cosmological models with accelerated expansion
Alan D. Rendall
An introduction to solutions of the Einstein equations defining cosmological models with accelerated expansion is given. Connections between mathematical and physical issues are ex…
Local existence and continuation criteria for solutions of the Einstein-Vlasov-scalar field system with surface symmetry
David Tegankong, Norbert Noutchegueme, Alan D. Rendall
We prove in the cases of spherical, plane and hyperbolic symmetry a local in time existence theorem and continuation criteria for cosmological solutions of the Einstein-Vlasov-scal…
Accelerated cosmological expansion due to a scalar field whose potential has a positive lower bound
Alan D. Rendall
In many cases a nonlinear scalar field with potential can lead to accelerated expansion in cosmological models. This paper contains mathematical results on this subject for hom…