The Newtonian limit on cosmological scales

Abstract

We establish the existence of a wide class of inhomogeneous relativistic solutions to the Einstein-Euler equations that are well approximated on cosmological scales by solutions of Newtonian gravity. Error estimates measuring the difference between the Newtonian and relativistic solutions are provided.

This version agrees with the published one

References in corpus (6)

• A new framework for analyzing the effects of small scale inhomogeneities in cosmology
• Applicability of the linearly perturbed FRW metric and Newtonian cosmology
• Post-Newtonian Celestial Dynamics in Cosmology: Field Equations
• The Newtonian limit for perfect fluids
• Post-Newtonian expansions for perfect fluids
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Cited by in corpus (11)

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• Newtonian Limits of Isolated Cosmological Systems on Long Time Scales
• Future global stability for relativistic perfect fluids with linear equations of state $p=K\rho$ where $1/3<K<1/2$
• Future stability of the FLRW spacetime for a large class of perfect fluids
• Recent developments in mathematical aspects of relativistic fluids
• On the stability of relativistic perfect fluids with linear equations of state $p=K\rho$ where $1/3<K<1$
• The Stability of Relativistic Fluids in Linearly Expanding Cosmologies
• Future instability of FLRW fluid solutions for linear equations of state $p=K\rho$ with $1/3<K<1$
• Perturbed Newtonian description of the Lemaître model with non-negligible pressure