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arXiv · gr-qc/9404061

The basis of nonlocal curvature invariants in quantum gravity theory

A. O. Barvinsky·Yu. V. Gusev·G. A. Vilkovisky·V. V. Zhytnikov
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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 $2ω<6$. 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.

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A. O. Barvinsky, Yu. V. Gusev, G. A. Vilkovisky, V. V. Zhytnikov. 1994-04-29. The basis of nonlocal curvature invariants in quantum gravity theory. https://doi.org/10.1063/1.530427

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