On the configuration space topology in general relativity

Details On the configuration space topology in general relativity On the configuration space topology in general relativity

1993-01-25

arxiv.org/abs/gr-qc/9301020v1

Helv.Phys.Acta 68 (1995) 86-111

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Plain-Tex, 33 pages, no figures, Freiburg THEP-92/32

Scientific paper

The configuration-space topology in canonical General Relativity depends on the choice of the initial data 3-manifold. If the latter is represented as a connected sum of prime 3-manifolds, 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 3-manifolds 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 non-sufficiently large ones of infinite fundamental group.

Affiliated with

Also associated with

No associations

Rating

On the configuration space topology in general relativity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the configuration space topology in general relativity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the configuration space topology in general relativity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-61377