Extreme black points in Born-Infeld electrodynamics

Abstract: The article considers the space-time structure of a charged black hole in the nonlinear Born-Infeld electrodynamics. We are discussing a special state of such a black hole in the form of a "black point" with a doubly degenerate horizon, for which the pseudo-Riemannian spacetime has a timelike singularity, and the effective space-time for photons turns out to be everywhere regular. This property makes extreme black points an intermediate state between traditional and absolutely regular black holes.