What did spacetime look like some time after the big bang?(adsbygoogle = window.adsbygoogle || []).push({});

1) Euclidian space. Imagine yourself in empty space, no mass, with (x,y,z) coordinates ranging from –infinity to +infinity. Somewhere within this infinite space was a volume with high matter-energy density from the Big Bang.

2) Compact Lorentzian. Spacetime was so badly bent from this high matter-energy density, that spacetime itself was finite, forming a Compact Lorentzian Manifold. This was associated with closed curves, including closed spacelike, lightlike, and timelike curves.

3) Compact Space. Similar to #2, but only space was compact. Time followed a global hyperbolic, ranging from –infinity to +infinity. Not all coordinates needed to be compact:

http://arxiv.org/PS_cache/arxiv/pdf/1104/1104.0015v2.pdf

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# Spacetime near the Big Bang?

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