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24 April 2024
 
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The basis of nonlocal curvature invariants in quantum gravity theory
A.O.Barvinsky ; Yu.V.Gusev ; G.A.Vilkovisky ; V.V.Zhytnikov ;
Date 30 Apr 1994
Journal J.Math.Phys. 35 (1994) 3525-3542
AbstractA 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 $2omega<6$. 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.
Source arXiv, gr-qc/9404061
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