Some exact static solutions for Einstein gravity in 2+1 dimensions coupled to abelian gauge field are discussed. Some of these solutions are three-dimensional analogs of the Schwarzschild black holes. The metrics in the regions inside and outside the horison are connected by the changing of the Planck mass sign.
Exact Solutions of Einstein-Yang-Mills Theory with Higher-Derivative Coupling
Some exact solutions of all f(Ricci) theories in three dimensions
Anomalous Jacobian Factor in the Polyakov Measure for Abelian Gauge Field in Curved Spacetimes
