Abstract
The exact electrically charged BTZ black hole solutions to the Einstein-Maxwell equations in 2+1 spacetime dimensions with a negative cosmological constant is discussed assuming a (anti-) self dual condition between the electromagnetic fields. In a coordinate condition there appears a logarithmic divergence in the angular momentum at spatial infinity. It is shown how it is to be regularized by taking the contribution from the boundary into account. Another coordinate condition which leads to a finite angular momentum is presented though it brings about a peculiar spacetime topology.
