Gravitating compact $Q$-ball and $Q$-shell solutions in the $\mathbb{C}{P}^N$ nonlinear sigma model

Pawel Klimas, Nobuyuki Sawado, Shota Yanai

We study compact gravitating $Q$-ball, $Q$-shell solutions in a sigma model with the target space $\mathbb{C}{P}^N$. Models with odd integer $N$ and suitable potential can be paramet…