(Super-)renormalizably dressed black holes

TL;DR

This paper introduces a method to construct black hole solutions dressed with super-renormalizable scalar fields, expanding known solutions to include a broader class of potentials in various dimensions.

Contribution

It provides a new mapping technique to generate black hole solutions with super-renormalizable scalar fields from existing conformal solutions.

Findings

Constructed new black hole solutions in D=3 and D=4.

Included both stationary and time-dependent configurations.

Extended the class of known scalar-dressed black holes.

Abstract

Black holes supported by self-interacting conformal scalar fields can be considered as renormalizably dressed since the conformal potential is nothing but the top power-counting renormalizable self-interaction in the relevant dimension. On the other hand, potentials defined by powers which are lower than the conformal one are also phenomenologically relevant since they are in fact super-renormalizable. In this work we provide a new map that allows to build black holes dressed with all the (super-)renormalizable contributions starting from known conformal seeds. We explicitly construct several new examples of these solutions in dimensions $D=3$ and $D=4$, including not only stationary configurations but also time-dependent ones.