Generalized symmetries and invariant matter couplings in two-dimensional dilaton gravity
Abstract
New features of the generalized symmetries of generic two-dimensional dilaton models of gravity are presented and invariant gravity-matter couplings are introduced. We show that there is a continuum set of Noether symmetries, which contains half a de Witt algebra. Two of these symmetries are area-preserving transformations. We show that gravity-matter couplings which are invariant under area preserving transformations only contribute to the dynamics of the dilaton-gravity sector with a reshaping of the dilaton potential. The interaction with matter by means of invariant metrics is also considered. We show in a constructive way that there are metrics which are invariant under two of the symmetries. The most general metrics and minimal couplings that fulfil this condition are found.
Keywords
Cite
@article{arxiv.gr-qc/9702040,
title = {Generalized symmetries and invariant matter couplings in two-dimensional dilaton gravity},
author = {Miguel Navarro},
journal= {arXiv preprint arXiv:gr-qc/9702040},
year = {2011}
}
Comments
LateX file, no macros, 14pp: minor changes have been made and some misprints have been corrected