Curvature vacuum correlations in \(N\)-dimensional Einstein gravity (Q1604953)

The choice of a particular metric generally determines the correct connection between the various aspects of the curvature of space-time and some of the important applications thereof. the authors have treated here the problem of vacuum correlation in higher dimensional Einstein gravity. Expressions for leading terms of several two-point curvature vacuum correlation functions are computed under the Euclidean space-time background using the scheme of perturbative expansion of the metric. It is shown by practical calculations that the net contributions of the corresponding leading term totally disappear. That the gravity cannot normally propagate in the vacuum is emphasised. The construction of distinct propagators is carried out in detail and discussed. There are 9 references and 5 main sections with 40 listed equations and a few leading definitions.