...Singham

M. Singham, ``Question #67. The electric field outside a black hole,'' Am.J.Phys. 65(12), 1133 (1997).

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...density.

See, for example, J.D. Jackson, Classical Electrodynamics (John Wiley & Sons, New York, 1975), 2nd ed., p. 611, for a discussion of the flat-space retarded potential; see R.M. Wald, General Relativity (University of Chicago Press, Chicago, 1984), pp. 267-268, for the generalization to curved spacetime.

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...hole.

This is of course closely related to the fact that an external observer never sees the charged matter fall all the way into the black hole. Since the world line of the infalling matter always intersects the past light cone of an outside observer, the observer can always see the infalling matter.

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...geometry.

See, for example, C.W. Misner, K.S. Thorne, and J.A. Wheeler, Gravitation (W.H. Freeman and Co., New York, 1973), pp. 840ff.

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...observer.

See, for example, Misner et al., op. cit., p. 921 for a helpful conformal diagram of the Reissner-Nordstrøm geometry.

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...photons.

Although these horizon-crossing virtual photons must be accounted for when computing transition amplitudes, it is important to remember that they carry neither information nor energy across the event horizon.

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