Some Applications of the ADM Formalism
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
The ADM Formalism is discussed in the context of 2+1--dimensional gravity, uniting two areas of relativity theory in which Stanley Deser has been particularly active. For spacetimes with topology R x T^2 the partially reduced and fully reduced ADM formalism are related and quantized, and the role of "large diffeomorphisms" (the modular group) in the quantum theory is illustrated.
Cite
@article{arxiv.gr-qc/0408083,
title = {Some Applications of the ADM Formalism},
author = {J. E. Nelson},
journal= {arXiv preprint arXiv:gr-qc/0408083},
year = {2007}
}
Comments
14 pages, 1 figure, to appear in Deserfest: A celebration of the life and works of Stanley Deser, Ann Arbor, Michigan, April 2004, (World Scientific)