Original title: On the Friedmann equation for the three-dimensional hypersphere
Authors: Křížek, Michal ; Mészáros, A.
Document type: Papers
Conference/Event: Cosmology on Small Scales 2016, Prague (CZ), 20160921
Year: 2016
Language: eng
Abstract: The present standard cosmological model of the evolution of our universe, is based on the Friedmann equation, which was published by Alexander Friedmann in 1922. He applied Einstein’s equations to an expanding threedimensional sphere which enabled him to avoid boundary conditions. However, his description was very brief. Therefore, the main objective of this article is to detailed a derivation of the Friedmann equation for an unknown expansion function a = a(t) representing the radius of the universe. Furthermore, we present serious arguments showing why the validity of Einstein’s equations should not be extrapolated to the entire universe.
Keywords: dark energy; dark matter; Einstein's equations; standard cosmological model
Host item entry: Proceedings of the International Conference Cosmology on Small Scales 2016 : Local Hubble Expansion and Selected Controversies in Cosmology, ISBN 978-80-85823-66-0

Institution: Institute of Mathematics AS ČR (web)
Document availability information: Fulltext is available in the digital repository of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0261654

Permalink: http://www.nusl.cz/ntk/nusl-253911


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Research > Institutes ASCR > Institute of Mathematics
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