Gravity on Finite Groups
General Relativity and Quantum Cosmology
2009-10-31 v2 High Energy Physics - Theory
Abstract
Gravity theories are constructed on finite groups G. A self-consistent review of the differential calculi on finite G is given, with some new developments. The example of a bicovariant differential calculus on the nonabelian finite group S_3 is treated in detail, and used to build a gravity-like field theory on S_3.
Keywords
Cite
@article{arxiv.gr-qc/9909028,
title = {Gravity on Finite Groups},
author = {Leonardo Castellani},
journal= {arXiv preprint arXiv:gr-qc/9909028},
year = {2009}
}
Comments
LaTeX, 26 pages, 1 figure. Corrected misprints and formula giving exterior product of n 1-forms. Added note on topological action