Linear deformations of static, self-dual de Sitter solutions and their Prasad-Sommerfield limit

Abstract
Non-normalizable linear deformations obtained by several authors for the Prasad-Sommerfield solution is generalized to the case of static, finite-action self-dual solutions in de Sitter space with Euclidean signature. The results for the Prasad-Sommerfield case are recovered directly through a simple limiting process. Some remarks are added concerning the existence and significance of other, normalizable, deformations for the finite-action, static de Sitter solutions.