A spherical region around a black hole where gravity bends light into circular orbits.The photon sphere is a spherical boundary around a black hole where gravity is so strong that light must travel in a circular orbit. At this radius, photons can orbit the black hole indefinitely, neither falling in nor escaping. The photon sphere is a key feature in understanding black hole shadows and gravitational lensing, as it defines the region where light paths become highly curved.
The concept of a photon sphere was first derived by David Finkelstein in 1958, building on earlier work on Schwarzschild geometry. It became more widely known through the work of James Bardeen and others in the 1970s on black hole astrophysics.
For a non-rotating (Schwarzschild) black hole, the photon sphere lies at 1.5 times the Schwarzschild radius. Light passing near this region is deflected so strongly that it can loop around the black hole multiple times before escaping or being captured. The innermost stable circular orbit for photons is exactly at this radius, and any perturbation causes the photon to either plunge into the black hole or spiral outward. For rotating (Kerr) black holes, the photon sphere is distorted into a more complex shape, with different radii for prograde and retrograde orbits.
The photon sphere is crucial for interpreting images of black holes, such as those taken by the Event Horizon Telescope. The bright ring seen in these images is the photon ring, which is the projection of the photon sphere onto the observer's sky.
If you were standing on the photon sphere, you could see the back of your own head, because light from your head would travel all the way around the black hole and come back to your eyes.















