Einstein-Yang-Mills-Chern-Simons solutions in D=2n+1 dimensions

Understand

We investigate finite energy solutions of the Einstein--Yang-Mills--Chern-Simons system in odd spacetime dimensions, D=2n+1, with n>1.

• Our configurations are static and spherically symmetric, approaching at infinity a Minkowski spacetime background.
• In contrast with the Abelian case, the contribution of the Chern-Simons term is nontrivial already in the static, spherically symmetric limit.
• Both globally regular, particle-like solutions and black holes are constructed numerically for several values of D.