Instability of charged black holes in anti-de Sitter space
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We exhibit a tachyonic mode in a linearized analysis of perturbations of large anti-de Sitter Reissner-Nordstrom black holes in four dimensions. In the large black hole limit, and up to a 0.7% discrepancy which is probably round-off error in the numerical analysis, the tachyon appears precisely when the black hole becomes thermodynamically unstable.
6 pages, REVTex 4.0, one figure. For problems viewing or printing the figure, see http://viper.princeton.edu/~ssgubser/tachyon/README
6 pages, REVTex 4.0, one figure. For problems viewing or printing the figure, see http://viper.princeton.edu/~ssgubser/tachyon/README