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<< Cosmo.WebHome %TOC% ---- ---+ Shape of Universe summary page for inclusion in others %STARTINCLUDE% ---++ Shape of the Universe <a href="/Cosmo/CosmoTopology"><img src="%ATTACHURLPATH%/../CosmoProjects/RBSG08_CCBYSA_GPL_GFDL.jpg" alt="RBSG08 image" width='200' height='200' style="float:left; margin-right: 20px"/></a> <a href="/Cosmo/CosmoCurvature"><img src="%ATTACHURLPATH%/../CosmoProjectsBrief/metric_par.jpg" alt="metric parameters image" width='200' height='200' style="float:right; margin-left: 20px"/></a> Scientific models of the Universe are intended to satisfy the Einstein field equations, that roughly speaking, state that curvature = density and that _mass density curves space_. The models allow many different sorts of spaces, which have the local property called a *metric* (a sort of rule for locally measuring distances, that determines *curvature*) and have global properties that define them, such as *[[http://cdsads.u-strasbg.fr/abs/2012CQGra..29p5006O][topology]]*. Together curvature and topology can be described as *shape*. The metric of the standard Universe model has many parameters such as the Hubble parameter, the baryon density parameter, the baryonic and non-baryonic dark matter density parameter %$\Omega_m$%, and the dark energy parameter %$\Omega_\Lambda$%. This standard model is oversimplified: it assumes that for the chosen separation of spacetime into space and time coordinates, the Universe is the same everywhere (*homogeneous*) in space at a given time coordinate. %STOPINCLUDE% -- Main.BoudRoukema - 05 Nov 2015
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Topic revision: r2 - 08 Jul 2018,
BoudRoukema
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