Stability of Reissner-Nordström black holes

Details Stability of Reissner-Nordström black holes Stability of Reissner-Nordström black holes

Aug 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974phrvd..10.1057m&link_type=abstract

Physical Review D, vol. 10, Issue 4, pp. 1057-1059

Physics

61

Scientific paper

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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