Lack of strong ellipticity in Euclidean quantum gravity
High Energy Physics - Theory
2009-10-30 v1
Abstract
Recent work in Euclidean quantum gravity has studied boundary conditions which are completely invariant under infinitesimal diffeomorphisms on metric perturbations. On using the de Donder gauge-averaging functional, this scheme leads to both normal and tangential derivatives in the boundary conditions. In the present paper, it is proved that the corresponding boundary value problem fails to be strongly elliptic. The result raises deep interpretative issues for Euclidean quantum gravity on manifolds with boundary.
Keywords
Cite
@article{arxiv.hep-th/9708163,
title = {Lack of strong ellipticity in Euclidean quantum gravity},
author = {Ivan G. Avramidi and Giampiero Esposito},
journal= {arXiv preprint arXiv:hep-th/9708163},
year = {2009}
}
Comments
14 pages, Plain Tex, 33 KB, no figures