3-manifolds which are spacelike slices of flat spacetimes
Differential Geometry
2009-10-31 v1 Mathematical Physics
Geometric Topology
math.MP
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 M^3 arise as spacelike slices of flat spacetimes, and by finding all possible holonomy homomorphisms pi_1(M^3) to ISO(3,1).
Keywords
Cite
@article{arxiv.math/0011021,
title = {3-manifolds which are spacelike slices of flat spacetimes},
author = {Kevin P. Scannell},
journal= {arXiv preprint arXiv:math/0011021},
year = {2009}
}
Comments
10 pages