63 citations · 340 across the 32 of their papers we have counts for
35 papers
Nonlinear stability of Einstein-de Sitter universes
Louie Bernhardt, David Fajman, Zoe Wyatt
The Einstein-de Sitter universe is the prevailing model used in cosmology to describe the cold dark matter-dominated epoch of the universe. This model is a spatially homogeneous an…
Non-linear stability of the matter dominated universe
David Fajman, Elliot Marshall
We numerically study non-linear perturbations of the Einstein-de Sitter spacetime as a solution to the Gowdy-symmetric Einstein-Euler system for a polytropic equation of state. The…
Landau damping on expanding backgrounds
David Fajman, Liam Urban
We analyse the effect of expansion in Newtonian cosmology on the asymptotic behaviour of charged self-interacting plasmas close to Poisson equilibria. To this end, we study the Vla…
A critical threshold for the cosmological Euler-Poisson system
David Fajman, Maciej Maliborski, Maximilian Ofner +2
We consider the gravitational Euler-Poisson system with a linear equation of state on an expanding cosmological model of the Universe. The expansion of the spatial sections introdu…
Charged black holes surrounded by shells of charged particles
David Fajman, Hannah Seer
We construct new static solutions to the Einstein-Vlasov-Maxwell system. These solutions model Reissner-Nordstrom-type black holes with surrounding shells of charged matter.
Stability of fluids in spacetimes with decelerated expansion
David Fajman, Maximilian Ofner, Todd Oliynyk +1
We prove the nonlinear stability of homogeneous barotropic perfect fluid solutions in fixed cosmological spacetimes undergoing decelerated expansion. The results hold provided a sp…
Phase transition between shock formation and stability in cosmological fluids
David Fajman, Maciej Maliborski, Maximilian Ofner +2
We demonstrate a novel phase transition from stable to unstable fluid behaviour for fluid-filled cosmological spacetimes undergoing decelerated expansion. This transition occurs wh…
On the past maximal development of near-FLRW data for the Einstein scalar-field Vlasov system
David Fajman, Liam Urban
We show that the maximal globally hyperbolic development of near-FLRW initial data for the Einstein scalar-field Vlasov system exhibits stable Big Bang formation in the collapsing…
The Stability of Relativistic Fluids in Linearly Expanding Cosmologies
David Fajman, Maximilian Ofner, Todd A. Oliynyk +1
In this paper we study cosmological solutions to the Einstein--Euler equations. We first establish the future stability of nonlinear perturbations of a class of homogeneous solutio…
Recollapsing spacetimes with
David Fajman, Maximilian Kraft
We show that any homogeneous initial data set with on a product 3-manifold of the orthogonal form , where is a…
Cosmic Censorship near FLRW spacetimes with negative spatial curvature
David Fajman, Liam Urban
We consider general initial data for the Einstein scalar-field system on a closed -manifold which is close to data for a Friedman-Lemaître-Robertson-Walker solution with…
Blow-up of waves on singular spacetimes with generic spatial metrics
David Fajman, Liam Urban
We study the asymptotic behaviour of solutions to the linear wave equation on cosmological spacetimes with Big Bang singularities and show that appropriately rescaled waves converg…
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…
Stable cosmologies with collisionless charged matter
Hamed Barzegar, David Fajman
It is shown that Milne models (a subclass of FLRW spacetimes with negative spatial curvature) are nonlinearly stable in the set of solutions to the Einstein-Vlasov-Maxwell system,…
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…
Asymptotic Stability of Minkowski Space-Time with non-compactly supported massless Vlasov matter
Léo Bigorgne, David Fajman, Jérémie Joudioux +2
We prove the global asymptotic stability of the Minkowski space for the massless Einstein-Vlasov system in wave coordinates. In contrast with previous work on the subject, no compa…
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…
Attractors of the Einstein-Klein Gordon system
David Fajman, Zoe Wyatt
It is shown that negative Einstein metrics are attractors of the Einstein-Klein-Gordon system. As an essential part of the proof we upgrade a technique that uses the continuity equ…
On the CMC-Einstein-Lambda flow
David Fajman, Klaus Kroencke
We complement a recent work on the stability of fixed points of the CMC-Einstein- flow. In particular, we modify the utilized gauge for the Einstein equations and remove a restr…
Stable cosmological Kaluza-Klein Spacetimes
Volker Branding, David Fajman, Klaus Kroencke
We consider the Einstein flow on a product manifold with one factor being a compact quotient of 3-dimensional hyperbolic space without boundary and the other factor being a flat to…
Nonlinear stability of the Milne model with matter
Lars Andersson, David Fajman
We show that any 3+1-dimensional Milne model is future nonlinearly, asymptotically stable in the set of solutions to the Einstein-Vlasov system. For the analysis of the Einstein eq…