Turning a Newtonian analogy for FLRW cosmology into a relativistic problem

Abstract

A Newtonian uniform ball expanding in empty space constitutes a common heuristic analogy for FLRW cosmology. We discuss possible implementations of the corresponding general-relativistic problem and a variety of new cosmological analogies arising from them. We highlight essential ingredients of the Newtonian analogy, including that the quasilocal energy is always `Newtonian' in the sense that the magnetic part of the Weyl tensor does not contribute to it. A symmetry of the Einstein-Friedmann equations produces another one in the original Newtonian system.

arXiv comment12 pages

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• Cold Collapse and Bounce of an FLRW Cloud
• Geometry of static $w=-1/5$ perfect fluid spheres in general relativity
• The Star Universe Model -- Another FLRW Patch