Abstract
We study gauged gravitating compact -ball, -shell solutions in a nonlinear sigma model with the target space . The models with odd integer and a special potential can be parameterized by th complex scalar fields and they support compact solutions. By implementing the gauge field in the model, the behavior of the solutions becomes complicated than the global model. Especially, they have branches, i.e., two independent solutions with the same shooting parameter. The energy of the solutions in the first branch behaves as for small , where stands for the Noether charge. For the large , it gradually deviates from the scaling and, for the -shells it is , which forms the second branch. A coupling with gravity allows for harboring of the Schwarzschild black holes for the -shell solutions, forming the charged boson shells. The space-time then consists of a charged black hole in the interior of the shell, surrounded by a -shell, and the outside becomes a Reissner-Nordström space-time. These solutions inherit the scaling behavior of the flat space-time.
4 More- Received 10 June 2020
- Accepted 27 July 2020
DOI:https://doi.org/10.1103/PhysRevD.102.045007
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Published by the American Physical Society