REGULAR AND BLACK HOLE SOLUTIONS TO HIGHER ORDER CURVATURE EINSTEIN–YANG–MILLS–GRASSMANNIAN SYSTEMS IN FIVE DIMENSIONS

Abstract

Solutions to EYM systems in five space–time dimensions possessing no gravity decoupling limits, feature a peculiar critical behavior which is absent in their six-, seven- and eight-dimensional counterparts which do possess flat space limits. This critical behavior in five dimensions persists even when a scalar matter field is added, rendering the model nontrivial in the gravity decoupling limit. To this end, both regular and black hole spherically symmetric solutions to the higher curvature EYM–Grassmannian sigma model in d=5 space–time dimensions are constructed. A study of the solutions to the Grassmannian model in flat space is also carried out.