Regular black holes in three dimensions

Understand

We find a plethora of new analytic black holes and globally regular horizonless spacetimes in three dimensions.

• The solutions involve a single real scalar field $\phi$ which always admits a magnetic-like expression proportional to the angular coordinate.
• The new metrics, which satisfy $g_{tt}g_{rr}=-1$ and represent continuous generalizations of the BTZ one, solve the equations of Einstein gravity corrected by a new family of densities (controlled by unconstrained couplings) constructed from positive powers of $(\partial \phi)^2$ and certain linear combinations of $R^{ab} \partial_a \phi \partial_b \phi$ and $(\partial \phi)^2 R$.
• Some of the solutions obtained describe black holes with one or several horizons.