Monday, 27 April 2015

cosmology - Is the de Sitter Universe equivalent to the static Einstein Universe?


The de Sitter universe is a flat exponentially expanding universe with a cosmological constant $\Lambda$ and no matter.


Einstein's static universe also has a cosmological constant $\Lambda$ but it also has matter and it is static. Can we make some coordinate transformation to the de Sitter universe to show equivalence of the universes?



Answer




The de Sitter universe is a [...] universe with [...] no matter.


Einstein's static universe [...] has matter


Can we make some coordinate transformation to the de Sitter universe to show equivalence of the universes?



Coordinate transformations cannot change the zero energy-momentum tensor of a de Sitter universe into the non-zero energy-momentum tensor of an Einstein uiverse.



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