Charged scalar-tensor solitons and black holes with (approximate) Anti-de Sitter asymptotics

Understand

We discuss charged and static solutions in a shift-symmetric scalar-tensor gravity model including a negative cosmological constant.

• The solutions are only approximately Anti-de Sitter (AdS) asymptotically.
• While spherically symmetric black holes with scalar-tensor hair do exist in our model, the uncharged spherically symmetric scalar-tensor solitons constructed recently cannot be generalised to include charge.
• We point out that this is due to the divergence of the electric monopole at the origin of the coordinate system, while higher order multipoles are well-behaved.