On crossing the Cauchy horizon of a Reissner–Nordström black-hole

Abstract

The behaviour, on the Cauchy horizon, of a flux of gravitational and/or electromagnetic radiation crossing the event horizon of a Reissner-Nordström black-hole is investigated as a problem in the theory of one-dimensional potential-scattering. It is shown that the flux of radiation received by an observer crossing the Cauchy horizon, along a radial time-like geodesic, diverges for all physically reasonable perturbations crossing the event horizon, even including those with compact support.