Newtonian limits of isolated cosmological systems on long time scales

DOI10.1007/s00023-018-0686-2zbMath1394.83004arXiv1701.03975OpenAlexW3098937342MaRDI QIDQ724838

Chao Liu, Todd Andrew Oliynyk

Publication date: 26 July 2018

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

Full work available at URL: https://arxiv.org/abs/1701.03975

zbMATH Keywords

Einstein-Euler equationscosmological Poisson-Euler equationsFLRW fluid solutionsinhomogeneous nonlinear perturbationsisolated cosmological systemsNewtonian limits

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Exact solutions to problems in general relativity and gravitational theory (83C15) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Related Items (11)

Cosmological Newtonian limits on large spacetime scales ⋮ Stability of AVTD behavior Within the polarized \(\mathbb{T}^2\)-symmetric vacuum spacetimes ⋮ Future stability of the FLRW spacetime for a large class of perfect fluids ⋮ Stabilizing relativistic fluids on spacetimes with non-accelerated expansion ⋮ 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) ⋮ The Fuchsian approach to global existence for hyperbolic equations ⋮ A Fuchsian viewpoint on the weak null condition ⋮ Future Global Stability for Relativistic Perfect Fluids with Linear Equations of State $p=K\rho$ where $1/3<K<1/2$

Uses Software

• GADGET

Cites Work

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