# Extreme black points in Born-Infeld electrodynamics

## TL;DR

This paper explores a special charged black hole state called a 'black point' in Born-Infeld electrodynamics, featuring a degenerate horizon and regular photon space-time, bridging traditional and regular black holes.

## Contribution

It introduces the concept of extreme black points with a doubly degenerate horizon and regular photon space-time within Born-Infeld electrodynamics.

## Key findings

- Black points have a doubly degenerate horizon.
- Photon space-time remains regular despite singularities.
- Black points are intermediate between traditional and regular black holes.

## 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.