Geometry on the space of geometries

Details Geometry on the space of geometries Geometry on the space of geometries

Jun 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988gsg..rept.....c&link_type=abstract

Unknown

Mathematics

Logic

Cosmology, Geodesic Lines, Geometry, Gravitational Fields, Relativity, Dimensions, Infinity, Riemann Manifold, Scalars, Tensors

Scientific paper

We discuss the geometric structure of the configuration space of pure gravity. This is an infinite dimensional manifold, M, where each point represents one spatial geometry g(sub ij) (x). The metric on M is dictated by geometrodynamics, and from it, the Christoffel symbols and Riemann tensor can be found. A free geometry tracing a geodesic on the manifold describes the time evolution of space in the strong gravity limit. In a regularization previously introduced by the authors, it is found that M does not have the same dimensionality, D, everywhere, and that D is not a scalar, although it is covariantly constant. In this regularization, it is seen that the path integral measure can be absorbed in a renormalization of the cosmological constant.

Affiliated with

Also associated with

No associations

Rating

Geometry on the space of geometries 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 Geometry on the space of geometries, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometry on the space of geometries will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1181447