Topological aspect of Black hole with Skyrme hair. (English) Zbl 1133.83353
Summary: Based on the \(\varphi\)-mapping topological current theory, we show that the presence of the black hole leaves fractional baryon charge outside the horizon in the Einstein–Skyrme theory. A topological current is derived from the Einstein–Skyrme system, which corresponds to the monopoles around the black hole. The branch process (splitting, merging and intersection) is simply discussed during the evolution of the monopoles.
MSC:
| 83C57 | Black holes |
| 83D05 | Relativistic gravitational theories other than Einstein’s, including asymmetric field theories |
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