A Black Hole's Shadow Depends on Polarization ✛ ✦

Original: "Helicity-dependent corrections to black-hole shadows from the gravitational spin Hall effect"
· C. A. S. Almeida
arXiv:2605.02136v2 · 2026-05-04 · CC BY 4.0 · 1 min
A spinning black hole makes its shadow slightly different for light with different oscillation directions.

A black hole's shadow is a dark pit against the backdrop of gas, where gravity traps light. Light is a wave, like a rope shaken up and down or side to side. The direction of its oscillations is its polarization. A spinning black hole twists space into a whirlpool, and this whirlpool affects the wave differently depending on polarization: the shadow shifts. For a non-spinning hole, described by Schwarzschild, there is no shift — everything is symmetric.

The shift is tiny — about one ten-thousandth of the shadow's diameter, but for a real black hole, that's tens of kilometers, the size of a city. Computer simulations show that future radio telescope networks like VLBI (Event Horizon Telescope) will be able to capture it. Then the polarization pattern on the shadow will reveal the spin of black holes in the centers of galaxies. A similar effect in labs shifts laser beams by nanometers — that's the spin Hall effect. Thus, the ideas of Einstein add detail to the images obtained by Kip Thorne and colleagues.

In labs, this same effect shifts a laser beam by nanometers. The astronomical version shifts a black hole's shadow by tens of kilometers, comparable to the size of a city.

In the movie Interstellar, the shadow of the black hole Gargantua already reflects spin. Our finding opens up something new: polarization imposes an invisible pattern on the shadow, affecting its shape.

\frac{Dk^{\mu}}{d\lambda} = \pm \frac{1}{\omega} \epsilon^{\mu\nu\rho\sigma} k_{\nu} \nabla_{\rho} k_{\sigma}
Determines the spin-dependent deviation of rays from geodesics based on polarization.
\frac{\delta b_{\pm}}{b_0} = \pm \frac{\alpha \chi}{2\omega} G(r_0) \cos\phi
Shows the dipole angular modulation of the shadow boundary — a kind of 'polarization fingerprint' of the spin.
Scientists
John Archibald WheelerJacob BekensteinFritz ZwickyKarl SchwarzschildStephen HawkingSubrahmanyan Chandrasekhar
Concepts
black hole spin black hole shadow photon sphere spin parameter schwarzschild metric scalar particle schwarzschild radius logarithmic correction hawking radiation anomalies spontaneous scalarization scalar perturbations hawking area law kerr metric horizon area critical collapse gravitational radius kerr effect quantum corrections Sachs–Wolfe effect innermost stable circular orbit