Regular (2+1)-dimensional black holes within nonlinear electrodynamics - art. no. 084003

(2+1)-regular static black hole solutions with a nonlinear electric field a re derived. The source to the Einstein equations is an energy momentum tens or of nonlinear electrodynamics, which satisfies the weak energy conditions and in the weak field limit becomes the (2+1)-Maxwell field tensor. The de rived class of solutions is regular: the metric, curvature invariants, and electric field are regular everywhere. The metric becomes, for a vanishing parameter, the (2+1)-static charged BTZ solution. A general procedure to de rive solutions for the static BTZ (2+1)spacetime for any nonlinear Lagrangi an depending on the electric field is formulated; for relevant electric fie lds one requires the fulfillment of the weak energy conditions.