63 citations · 340 across the 32 of their papers we have counts for
20 papers · 1 filter
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…
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…
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…
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…
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…
The Stability of the Minkowski space for the Einstein-Vlasov system
David Fajman, Jérémie Joudioux, Jacques Smulevici
We prove the global stability of the Minkowski space viewed as the trivial solution of the Einstein-Vlasov system. To estimate the Vlasov field, we use the vector field and modifie…
The Einstein-Lambda flow on product manifolds
David Fajman, Klaus Kroencke
We consider the vacuum Einstein flow with a positive cosmological constant on spatial manifolds of product form. In spatial dimension at least four we show the existence of continu…
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…
Static solutions to the Einstein-Vlasov system with non-vanishing cosmological constant
Håkan Andréasson, David Fajman, Maximilian Thaller
We construct spherically symmetric, static solutions to the Einstein-Vlasov system with non-vanishing cosmological constant . The results are divided as follows. For small …
Area inequalities for stable marginally outer trapped surfaces in Einstein-Maxwell-dilaton theory
David Fajman, Walter Simon
We prove area inequalities for stable marginally outer trapped surfaces in Einstein-Maxwell-dilaton theory. Our inspiration comes on the one hand from a corresponding upper bound f…