Minimal Shadow Size of a Black Hole express

Original: "Lower bound on the radii of black-hole shadows"
· Shahar Hod
arXiv:2603.03421 · 2026-03-03 · CC BY 4.0 · 1 min
Scientists have proven that the shadow of a spherical black hole is always at least 2.6 times larger than its point of no return.

A black hole is like a dark ball in space onto which luminous matter falls. A black hole has a shadow — a region from which rays cannot escape. But due to light bending, the shadow appears larger than the hole itself: just like a ball's shadow on a wall grows bigger when the lamp is far away.

Some theories add 'hair' to black holes — extra fields that alter their appearance. Typically, black holes are 'bald,' possessing only mass, charge, and spin.

It is proven that for a symmetric hairy black hole, the shadow radius is always at least 2.6 times the radius of the point of no return ($r_{\text{sh}}/r_{\text{H}} \ge 3\sqrt{3}/2$). The simplest 'bald' model gives this limit; any 'hair' enlarges the shadow. Remarkably, the shadow is not the hole itself but an illusion caused by the bent light of surrounding matter. Observations by telescopes like the Event Horizon Telescope turn shadows into a test for exotic physics. The shadow of M87 matches a 'bald' black hole, supporting Einstein's theory.

The shadow of the M87 black hole, imaged in 2019, matched the predictions of general relativity: circular and with a radius 2.6 times larger than the point of no return.

The film 'Interstellar' used actual light-bending calculations to create the shadow of the Gargantua black hole.

r_{\text{sh}}/r_{\text{H}} \ge 3\sqrt{3}/2
The ratio of the shadow radius to the point-of-no-return radius cannot be less than about 2.6; for a non-rotating 'bald' black hole, it equals this value.
Scientists
John Archibald WheelerJacob BekensteinStephen HawkingFritz ZwickyKarl SchwarzschildSubrahmanyan Chandrasekhar
Concepts
schwarzschild metric hairy black hole schwarzschild black hole no-hair theorem event horizon stability horizon area photon sphere Hawking area theorem radius Einstein field equations spin parameter boundary innermost stable circular orbit kerr metric entropic shadow wald entropy hawking radiation mechanism naked singularity gravitational radius charge to mass ratio