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It seems as though the contemporary consensus among cosmologists is that the universe is basically flat and Euclidean:
http://en.wikipedia.org/wiki/Shape_of_the_Universe
However, Einsteins relativity equations describing events in space-time appear to be hyperbolic:
http://hermes.aei.mpg.de/1998/3/article.xhtml
Wouldn't the hyperbolic nature of Einstein's relativity equations suggest an Omega of less than 1, a negative curvature and a hyperbolic geometry to spacetime? What would be the argument against this conclusion?
The recent Wilkinson Microwave Anisotropy Probe (WMAP) measurements have led NASA to state, "We now know that the universe is flat with only a 0.4% margin of error."[1] Within the Friedmann–Lemaître–Robertson–Walker (FLRW) model, the presently most popular shape of the Universe found to fit observational data according to cosmologists is the infinite flat model
http://en.wikipedia.org/wiki/Shape_of_the_Universe
However, Einsteins relativity equations describing events in space-time appear to be hyperbolic:
http://hermes.aei.mpg.de/1998/3/article.xhtml
Wouldn't the hyperbolic nature of Einstein's relativity equations suggest an Omega of less than 1, a negative curvature and a hyperbolic geometry to spacetime? What would be the argument against this conclusion?
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