Amplification of waves by a rotating black hole through energy extraction from its ergosphere.Black hole superradiance is a process by which waves—such as electromagnetic or gravitational waves—are amplified as they scatter off a rotating black hole, extracting energy from the black hole's rotation. This effect occurs in the ergosphere, a region outside the event horizon where spacetime is dragged along by the black hole's rotation. Superradiance can lead to the growth of fields around the black hole, potentially creating 'black hole bombs' if the amplified waves are trapped by a mirror-like mechanism.
The effect was first predicted by Roger Penrose in 1969 as a mechanism to extract energy from a rotating black hole, and later extended to wave amplification by Yakov Zel'dovich and others in the 1970s.
When a wave enters the ergosphere, it can be scattered with increased amplitude if its frequency is lower than a threshold set by the black hole's rotation rate. The wave gains energy at the expense of the black hole's rotational energy, which slows down the black hole. If the wave is confined, it can repeatedly amplify, leading to exponential growth and the formation of a 'bomb' that eventually releases energy in a burst.
Superradiance is studied as a potential source of gravitational waves and as a mechanism to probe the existence of ultralight particles, which could form clouds around black holes and produce detectable signals.
Superradiance is analogous to the 'rotational superradiance' in quantum mechanics, where a rotating cylinder can amplify sound waves, a phenomenon demonstrated in laboratory experiments with water waves.
| ω | variable | frequency of the wave — angular frequency radian per second |
| m | variable | azimuthal quantum number — azimuthal quantum number |
| Ω_H | variable | angular velocity of the black hole horizon — angular velocity radian per second |
| Re | operator | extracts the real component of a complex quantity — real part |
| I | variable | Intensity of emitted radiation — intensity watt per metre squared |
| N | variable | Number of emitting particles — particle number |
| ω | variable | Frequency of the scalar field mode — angular frequency radian per second |
| m | variable | Azimuthal quantum number of the mode — azimuthal quantum number |
| Ω_H | variable | Angular velocity of the black hole horizon — angular velocity radian per second |






