Asymptotically flat black holes sourced by a massless scalar field

Understand

We derive exact, asymptotically flat black hole solutions of Einstein-scalar gravity sourced by a non trivial scalar field with $1/r$ asymptotic behaviour.

• They are determined using an ansatz for the scalar field profile and working out, together with the metric functions, the corresponding form of the scalar self-interaction potential.
• Near to the singularity the black hole behaves as the Janis-Newmann-Winicour-Wyman solution.
• We also work out a consistent thermodynamical description of our black hole solutions.