Regular charged black hole construction in 2+12+1 dimensions

It is well known that unlike its chargeless version the charged Banados–Teitelboim–Zanelli (BTZ) black hole solution in (2+1)(2+1)-dimensional spacetime is singular. We construct a charged, regular extension of the BTZ black hole solution by employing nonlinear Born–Infeld electrodynamics, supplemented with the Hoffmann term and gluing different spacetimes. The role of the latter term is to divide spacetime in a natural way into two regions by a circle and eliminate the inner singularity. Thermodynamics of such a black hole is investigated by Kaluza–Klein reduction to the (1+1)(1+1)-dimensional dilaton gravity.

► We obtain an electrically charged regular black hole solution as an extension of the uncharged BTZ black hole.
► Geometrically we obtained a variety of black hole states.
► Thermodynamically these regular black holes are stable.