Gravitating monopoles and black holes in the Einstein-Born-Infeld-Higgs model

摘要

We fine static spherically symmetric monopoles in the Einstein-Born-Infeld-Higgs model in 3 + 1 dimensions. The solutions exist only when a parameter #alpha# (related to the strength of Gravitational interaction) does not exceed certain critical value. We also discuss magnetically charged non Abelian black holes in this model. We analyse these solutions numerically.