Gravitating instantons in 3 dimensions - art. no. 064003

We study the Einstein-Chern-Simons gravity coupled to Yang-Mills-Higgs theo ry in three-dimensional Euclidean space with a cosmological constant. The c lassical equations reduce to Bogomol'nyi type first order equations in curv ed space. There are BPS type gauge theory instanton (monopole) solutions of finite action in a gravitational instanton which itself has a finite actio n. We also discuss gauge theory instantons in the vacuum (zero action) AdS space. In addition we point out to some exact solutions which are singular.