Exotic black hole solution in teleparallel theory of (2+1)-dimensional gravity

A black hole solution in a teleparallel theory of (2+1)-dimensional gravity, given in a previous paper, is examined. This solution is also a solution of the three-dimensional vacuum Einstein equation with a vanishing cosmological constant. Remarkable is the fact that this solution gives a black hole in a “flat-land” in the Einstein theory and a Newtonian limit. Coordinate transformations to “Minkowskian” coordinates, however, are singular not only at the origin, but also on the event horizon. In the three-dimensional Einstein theory, vacuum regions of space-times can be locally non-trivial. PACS number(s): 04.20.–q, 04.50.+h Typeset using REVTEX Electronic address: [email protected] 1