Slowly expanding stable dust spacetimes

Abstract

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, which in particular implies that the expansion rate of the respective models is linear i.e. has zero acceleration. The resulting spacetimes are future globally regular. These solutions constitute the first generic class of future regular Einstein-Dust spacetimes not undergoing accelerated expansion and are thereby the slowest expanding generic family of future complete Einstein-Dust spacetimes currently known.

References in corpus (6)

• The Cosmic No-Hair Theorem and the Nonlinear Stability of Homogeneous Newtonian Cosmological Models
• A conformal approach for the analysis of the non-linear stability of pure radiation cosmologies
• The Stabilizing Effect of Spacetime Expansion on Relativistic Fluids With Sharp Results for the Radiation Equation of State
• Stabilizing relativistic fluids on spacetimes with non-accelerated expansion
• Exponential Decay for Small Non-Linear Perturbations of Expanding Flat Homogeneous Cosmologies
• Future stability of the $1+3$ Milne model for Einstein-Klein-Gordon system

Cited by in corpus (4)

• The Stability of Relativistic Fluids in Linearly Expanding Cosmologies
• Einstein flow with matter sources: stability and convergence
• On the Global Well-Posedness of the Einstein-Yang-Mills System
• The linear stability of the Einstein-Euler system on negative Einstein spaces