Instability of two-dimensional heterotic stringy black holes

Abstract

We solve the eigenvalue problem of general relativity for the case of charged black holes in two-dimensional heterotic string theory, derived by McGuigan et al. For the case of $m^2>q^2$, we find a physically acceptable time-dependent growing mode; thus the black hole is unstable. The extremal case $m^2=q^2$ is stable.

11 pages, LaTeX

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