The basis of nonlocal curvature invariants in quantum gravity theory

Details The basis of nonlocal curvature invariants in quantum gravity theory The basis of nonlocal curvature invariants in quantum gravity theory

1994-04-29

arxiv.org/abs/gr-qc/9404061v1

J.Math.Phys.35:3525-3542,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

28 pages, REVTeX, Alberta Thy 14-94

Scientific paper

10.1063/1.530427

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 $2\omega<6$. 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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