TL;DR
This paper demonstrates that on large cosmological scales, certain inhomogeneous relativistic solutions closely resemble Newtonian gravity, with quantifiable error bounds.
Contribution
It introduces a broad class of inhomogeneous solutions to Einstein-Euler equations that are effectively approximated by Newtonian solutions on cosmological scales.
Findings
Existence of inhomogeneous solutions approximated by Newtonian gravity.
Error estimates quantifying the difference between relativistic and Newtonian solutions.
Validation of Newtonian approximation validity on large 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.
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