Scattering of massless scalar waves by magnetically charged black holes in Einstein-Yang-Mills-Higgs theory

摘要: The existence of the classical black hole solutions Einstein-Yang-Mills-Higgs equations with non-abelian Yang-Mills-Higgs hair, which we will also refer to as "magnetic monopole solutions", implies that not all stationary magnetically charged holes can be uniquely described by their asymptotic characteristics. In fact, in a certain domain parameters, there exist different spherically-symmetric, non-rotating and asymptotically-flat EYMH have same ADM mass magnetic charge but significantly geometries near-horizon regions. (These are Reissner-Nordstrom metric on one hand hairy is form other hand.) One experimentally distinguish such characteristics classically probing regions holes. We argue way probe region allows scattering waves. Using example minimally-coupled massless scalar field scattered obtained Higgs triplett gauge group SU(2) limit an infinite self-coupling constant show how, this case, cross sections differ for find particular characteristic glory peaks located at angles.