A black hole with angular momentum, described by the Kerr solution, featuring a ring singularity.A rotating black hole, described by the Kerr solution to Einstein's field equations, is a region of spacetime where gravity is so intense that nothing, not even light, can escape once past the event horizon. Unlike a non-rotating (Schwarzschild) black hole, which has a point singularity, a rotating black hole has a ring-shaped singularity, and its rotation drags spacetime around it in a phenomenon known as frame-dragging. This rotation also creates an ergosphere, a region outside the event horizon where objects cannot remain stationary and from which energy can be extracted.
The Kerr solution was discovered by Roy Kerr in 1963, just a few years after the first exact solution for a non-rotating black hole was found by Karl Schwarzschild in 1916. Kerr's work was a landmark in general relativity, providing a realistic description of black holes formed from collapsing rotating stars.
The Kerr solution is characterized by two parameters: mass and angular momentum. The rotation causes the event horizon to be smaller than in the non-rotating case, and it creates a region called the ergosphere, where spacetime itself is dragged along at speeds approaching the speed of light. Particles entering the ergosphere can gain energy from the black hole's rotation via the Penrose process, and the extraction of this rotational energy is thought to power some of the most energetic phenomena in the universe, such as relativistic jets.
Rotating black holes are used as models for active galactic nuclei and quasars, where the extraction of rotational energy is believed to drive the powerful jets observed. They also serve as natural laboratories for testing general relativity in strong-field regimes.
The maximum spin of a Kerr black hole is limited by the 'cosmic censorship conjecture,' which suggests that the singularity must always be hidden behind an event horizon, preventing a 'naked singularity' from being observable.












