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Stability of Reissner-Nordstrom black holes

Aug 15, 1974
2 pages
Published in:
  • Phys.Rev.D 10 (1974) 1057-1059
DOI:
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Abstract: (APS)
Extending some previous work, we here consider the even-parity perturbations of the Reissner-Nordström family of black holes. Gauge-invariant functions of the gravitational and electromagnetic perturbations are defined in terms of the standard Regge-Wheeler expansion functions, and the coupled wave equations obeyed by these quantities are given. The wave equations are decoupled by a simple transformation, and the decoupled equations are shown to admit no unstable normal-mode solutions obeying the appropriate boundary conditions.
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