We study D-branes in the Lorentzian signature 2D black hole string theory. We
use the technique of gauged WZW models to construct the associated boundary
conformal field theories. The main focus of this work is to discuss the
(semi-classical) world-volume geometries of the D-branes. We also discuss
comparison of our work with results in related gauged WZW models.Comment: 24 pages, 5 figures, uses JHEP3.cl