Odd-parity stability of a Reissner-Nordström black hole

Details Odd-parity stability of a Reissner-Nordström black hole Odd-parity stability of a Reissner-Nordström black hole

May 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974phrvd...9.2707m&link_type=abstract

Physical Review D, vol. 9, Issue 10, pp. 2707-2709

Physics

84

Scientific paper

The odd-parity perturbations of a Reissner-Nordström black hole are studied through the use of a variational principle for the perturbation equations. The Hamiltonian for the perturbations is expressed in terms of a natural set of canonical variables and shown to be (weakly) positive-definite. This result is used to prove the nonexistence of unstable normalmode solutions of the perturbation equations. The two wave equations governing gravitational and electromagnetic perturbations are decoupled by a simple transformation.

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