Future stability of the FLRW spacetime for a large class of perfect fluids

DOI10.1007/s00023-020-00987-1zbMath1465.35375arXiv1810.11788OpenAlexW3116416546MaRDI QIDQ2662000

Chang-Hua Wei, Chao Liu

Publication date: 8 April 2021

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.11788

zbMATH Keywords

Einstein-Euler equationspolytropic fluidfluid-filled homogeneous isotropic universeFriedmann-Lemaître-Robertson-Walker (FLRW) solutions

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Space-time singularities, cosmic censorship, etc. (83C75) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Einstein equations (35Q76) Euler equations (35Q31)

Related Items (6)

Finite-time blowup of smooth solutions for the relativistic generalized Chaplygin Euler equations ⋮ On the stability of relativistic perfect fluids with linear equations of state \(p=K\rho\) where \(1/3<K<1\) ⋮ Blowups and Longtime Developments with Near-Boundary Mass Accretions of Irregularly Shaped Euler–Poisson Dominated Molecular Clouds in Astrophysics ⋮ Localized big bang stability for the Einstein-scalar field equations ⋮ Mathematical aspects of general relativity. Abstracts from the workshop held August 29 -- September 4, 2021 (hybrid meeting) ⋮ Future Global Stability for Relativistic Perfect Fluids with Linear Equations of State $p=K\rho$ where $1/3<K<1/2$

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