Observable distortions in a black hole's shadow caused by magnetic fields or extra dimensions.The shadow of a black hole is the dark region on the background of hot gas or light, corresponding to the photon capture sphere and the event horizon. In the simplest case, it is almost circular, with a size set by the black hole's mass and spin. However, the shadow's shape and brightness can be altered by the presence of strong magnetic fields, which bend and polarize light, or by hypothetical extra dimensions, which would modify the spacetime geometry near the horizon. Observable distortions in the shadow are thus a potential probe of physics beyond the standard model and of the extreme conditions near a black hole.
The concept of the black hole shadow was first discussed in the 1970s by James Bardeen and others, but the term and its detailed predictions were developed later, notably by Heino Falcke and collaborators in the 2000s. The first direct image of a black hole shadow was published by the Event Horizon Telescope in 2019.
Light rays passing near a black hole are deflected by gravity; those that come too close are captured, creating the shadow. Magnetic fields in the surrounding plasma can change the path of light through the Faraday effect and by altering the emission pattern, producing asymmetries or bright 'photon rings'. Extra dimensions, if they exist, would change the gravitational field at short distances, slightly shifting the shadow's size or shape compared to the general-relativistic prediction. Comparing high-resolution images (like those from the Event Horizon Telescope) with theoretical models allows physicists to infer the presence of these effects.
Shadow observations are used to test general relativity and alternative theories of gravity, and to measure black hole mass and spin. They also serve as a tool to search for dark matter or extra dimensions, as suggested in the article 'Минимальный размер тени чёрной дыры'.
The shadow of a black hole is about 2.6 times larger than the event horizon itself, because gravitational lensing magnifies the apparent size of the dark region.
| r_{\text{sh}} | variable | Shadow radius as seen by a distant observer — length metre |
| r_{\text{H}} | variable | Event horizon radius of the black hole — length metre |
| a | variable | Dimensionless spin parameter — dimensionless spin parameter |
| J | variable | Angular momentum of the black hole — angular momentum kilogram metre squared per second |
| M | variable | Mass of the black hole — mass kilogram |
| c | constant | Speed of light in vacuum, a fundamental constant of nature. — speed of light = 299792458 metre per second |
| G | constant | Newtonian constant of gravitation, determining the strength of gravity. — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared |













