240 citations · 3.3k across the 90 of their papers we have counts for
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Dynamics of -essence
Alan D. Rendall
There are a number of mathematical theorems in the literature on the dynamics of cosmological models with accelerated expansion driven by a positive cosmological constant or a…
Inextendibility of expanding cosmological models with symmetry
Mihalis Dafermos, Alan D. Rendall
A new criterion for inextendibility of expanding cosmological models with symmetry is presented. It is applied to derive a number of new results and to simplify the proofs of exist…
Multipole radiation in a collisonless gas coupled to electromagnetism or scalar gravitation
Sebastian Bauer, Markus Kunze, Gerhard Rein +1
We consider the relativistic Vlasov-Maxwell and Vlasov-Nordström systems which describe large particle ensembles interacting by either electromagnetic fields or a relativistic scal…
Power-law Inflation in Spacetimes without Symmetry
J. Mark Heinzle, Alan D. Rendall
We consider models of accelerated cosmological expansion described by the Einstein equations coupled to a nonlinear scalar field with a suitable exponential potential. We show that…
On the nature of initial singularities for solutions of the Einstein-Vlasov-scalar field system with surface symmetry
David Tegankong, Alan D. Rendall
Global existence results in the past time direction of cosmological models with collisionless matter and a massless scalar field are presented. It is shown that the singularity is…
Theorems on existence and global dynamics for the Einstein equations
Alan D. Rendall
This article is a guide to theorems on existence and global dynamics of solutions of the Einstein equations. It draws attention to open questions in the field. The local-in-time Ca…