2014•Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsOpen access

Cosmological Newtonian limit

Todd A. Oliynyk

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Abstract

We describe a wide class of inhomogeneous relativistic solutions that are well approximated on cosmological scales by solutions of Newtonian gravity. Error estimates measuring the difference between the Newtonian and relativistic solutions are given. The solutions presented here unambiguously demonstrate that it is possible for Newtonian gravity to provide a good approximation to general relativity on cosmological scales.

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Key concepts: Newtonian fluid, Physics, General relativity, Newtonian limit, Limit (mathematics), Class (philosophy), Newtonian potential, Theory of relativity