AdS solitons with conformal scalar hair

Understand

We study spherically symmetric soliton solutions in a model with a conformally coupled scalar field as well as in full conformal gravity.

• We observe that a new type of limiting behaviour appears for particular choices of the self-coupling of the scalar field, i.e.
• the solitons interpolate smoothly between the Anti-de Sitter vacuum and an uncharged configuration.
• Furthermore, within conformal gravity the qualitative approach of a limiting solution does not change when varying the charge of the scalar field - contrary to the Einstein-Hilbert case.