Abstract
The question of the effect of asynumetries in gravitational collapse is investigated by considerations of test electromagnetic fields in an extended Reissner-Nordström background. It is found, with ths aid of computer calculations, that instabilities in the test field arise at the inner (Cauchy or anti-event) horizon, though not at the ouier (event) horizon. Thus it is reasonable to infer that in the full coupled Einstein-Maxwell theory the inner horizon will not survive as a non-singular bypersurface when asymmetric perturbations are present, but will instead become a space-time curvature singularity.
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Simpson, M., Penrose, R. Internal instability in a Reissner-Nordström black hole. Int J Theor Phys 7, 183–197 (1973). https://doi.org/10.1007/BF00792069
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DOI: https://doi.org/10.1007/BF00792069