Black Hole Horizon and Turns it Singular

We present a static solution for d = 2 critical string theory including the tachyon T but not its potential V (T ). This solution thus incorporates tachyon back reaction and, when T = 0, reduces to the black hole solution. When T 6= 0 one finds that (1) the Schwarzschild horizon of the above black hole splits into two, resembling Reissner-Nordstrom horizons and (2) the curvature scalar develops new singularities at the horizons. These features, as we argue, will persist even with V (T ) present. Some possible methods for removing these singularities are discussed.