On the configuration space topology in general relativity
Abstract
The configurationspace topology in canonical General Relativity depends on the choice of the initial data 3manifold. If the latter is represented as a connected sum of prime 3manifolds, the topology receives contributions from all configuration spaces associated to each individual prime factor. There are by now strong results available concerning the diffeomorphism group of prime 3manifolds which are exploited to examine the topology of the configuration spaces in terms of their homotopy groups. We explicitly show how to obtain these for the class of homogeneous spherical primes, and communicate the results for all other known primes except the nonsufficiently large ones of infinite fundamental group.
 Publication:

arXiv eprints
 Pub Date:
 January 1993
 arXiv:
 arXiv:grqc/9301020
 Bibcode:
 1993gr.qc.....1020G
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 PlainTex, 33 pages, no figures, Freiburg THEP92/32