Poincar\'e Gauge Theories for Lineal Garvity
General Relativity and Quantum Cosmology
2009-10-22 v2
Abstract
We have shown that two of the most studied models of lineal gravities - Liouville gravity and a ``string-inspired'' model exhibiting the main characteristic features of a black-hole solution - can be formulated as gauge invariant theories of the Poincar\'e group. The gauge invariant couplings to matter (particles, scalar and spinor fields) and explicit solutions for some matter field configurations, are provided. It is shown that both the models, as well as the couplings to matter, can be obtained as suitable dimensional reductions of a 2+1-dimensional ISO(2,1) gauge invariant theory.
Keywords
Cite
@article{arxiv.gr-qc/9209013,
title = {Poincar\'e Gauge Theories for Lineal Garvity},
author = {G. Grignani and G. Nardelli},
journal= {arXiv preprint arXiv:gr-qc/9209013},
year = {2009}
}
Comments
TeX Manuscript, 30 pages