Abstract
The authors first considers Lovelock gravity as a perturbative theory and then apply the results to a D-dimensional homogeneous and isotropic minisuperspace model provided with matter fields for which there exist instanton solutions. He develops a general procedure to analyse these solutions, which may be interpreted as representing tunnelling. Adding some reasonable restrictions to the Lovelock coefficients, it is shown that the Lovelock corrections preserve the essential feature of Einstein gravity models, giving rise to an essentially unique instanton solution.