Horizon stability in asymptotically flat spacetimes

Details Horizon stability in asymptotically flat spacetimes Horizon stability in asymptotically flat spacetimes

Dec 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977phrvd..16.3359t&link_type=abstract

Physical Review D (Particles and Fields), Volume 16, Issue 12, 15 December 1977, pp.3359-3368

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Scientific paper

It is shown that, provided the ideal point structure of spacetime is stable, generic infinitesimal perturbations cause singularities to appear on the event horizons in both the maximally extended Schwarzschild spacetime and the maximally extended Reissner-Nordström spacetime. Furthermore, singularities will also appear on the "inner event horizon" of the maximally extended Reissner-Nordström solution when this spacetime is perturbed generically. The Cauchy horizon appearing in the Reissner-Nordström solution is shown to be unstable to spherically symmetric infinitesimal perturbations. The barrier that prevents travel through a wormhole from one asymptotically flat region to another is shown in the Schwarzschild case to be stable to spherically symmetric perturbations.

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