Statistics – Computation
Scientific paper
Jul 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cqgra...4..899b&link_type=abstract
Classical and Quantum Gravity (ISSN 0264-9381), vol. 4, July 1, 1987, p. 899-928. NSERC-supported research.
Statistics
Computation
16
Computational Astrophysics, Cosmic Dust, Cosmology, Regge Poles, Space-Time Functions, Universe, Approximation, Astronomical Models, Cauchy Problem, Gravitational Collapse
Scientific paper
The detailed construction of six Regge (1961) spacetimes, each being an approximation to a time symmetric Friedmann dust-filled universe, is presented. These spacetimes are a generalization of those originally constructed by Collins and Williams (1973). This paper presents new methods for the subdivision of each Cauchy surface into a set of tetrahedra, for the construction of the general four-dimensional block, and for the implementation of the constraints of homogeneity and isotropy. A new action sum for pure dust in a Regge spacetime is also presented. The evolution of the Regge spaces is seen to terminate prior to the full collapse of the universe. This is shown to occur when the particle horizon for an observer at the center of one tetrahedron has contracted so as to just touch the vertices of that tetrahedron. It is argued that this is a generic feature and will occur in any Regge spacetime whenever the local curvature becomes too large.
No associations
LandOfFree
Friedmann cosmologies via the Regge calculus 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 Friedmann cosmologies via the Regge calculus, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Friedmann cosmologies via the Regge calculus will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-790124