3-manifolds which are spacelike slices of flat spacetimes
Kevin P. Scannell
Abstract
We continue work initiated in a 1990 preprint of Mess giving a geometric parameterization of the moduli space of classical solutions to Einstein's equations in 2+1 dimensions with cosmological constant 0 or -1 (the case +1 has been worked out in the interim by the present author). In this paper we make a first step toward the 3+1-dimensional case by determining exactly which closed 3-manifolds M3 arise as spacelike slices of flat spacetimes, and by finding all possible holonomy homomorphisms pi1(M3) to ISO(3,1).
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