Schwarzschild and Friedmann Lemaître Robertson Walker metrics from Newtonian Gravitational collapse

Eduardo I. Guendelman, Arka Prabha Banik, Gilad Granit, Tomer Ygael, Christian Rohrhofer

Research output: Contribution to journalArticle

Abstract

As is well known, the 0 −0 component of the Schwarzschild space can be obtained by the requirement that the geodesic of slowly moving particles match the Newtonian equation. Given this result, we shall show here that the remaining components can be obtained by requiring that the inside of a Newtonian ball of dust matched at a free falling radius with the external space determines that space to be Schwarzschild, if no pathology exist. Also we are able to determine that the constant of integration that appears in the Newtonian Cosmology, coincides with the spatial curvature of the FLRW metric.
Original languageEnglish
Journalarxiv gr-qc
StatePublished - 2015

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