The basis of nonlocal curvature invariants in quantum gravity theory
General Relativity and Quantum Cosmology
2008-11-26 v1
Abstract
A complete basis of nonlocal invariants in quantum gravity theory is built to third order in spacetime curvature and matter-field strengths. The nonlocal identities are obtained which reduce this basis for manifolds with dimensionality . The present results are used in heat-kernel theory, theory of gauge fields and serve as a basis for the model-independent approach to quantum gravity and, in particular, for the study of nonlocal vacuum effects in the gravitational collapse problem.
Cite
@article{arxiv.gr-qc/9404061,
title = {The basis of nonlocal curvature invariants in quantum gravity theory},
author = {A. O. Barvinsky and Yu. V. Gusev and G. A. Vilkovisky and V. V. Zhytnikov},
journal= {arXiv preprint arXiv:gr-qc/9404061},
year = {2008}
}
Comments
28 pages, REVTeX, Alberta Thy 14-94