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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 · General Relativity High Energy
A spinning black hole makes its shadow slightly different for light with different oscillation directions.
Abstract

For a long time, it was believed that a black hole's shadow doesn't depend on light's polarization. But the hole's spin changes everything: polarization, like an invisible rudder, slightly shifts the shadow's edge. For the first time, this shift has been precisely calculated for slow rotation. Will we ever be able to see such a 'dance' of light around a black hole?

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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
Stephen HawkingJacob BekensteinAlbert EinsteinFritz ZwickyVera RubinBernhard Riemann
Tags
black hole spacetime curvature polarimetry VLBI numerical simulation active galactic nucleus radio astronomy gravity
Laws
Hawking radiationgravitational lensingBekenstein-Hawking entropyEinstein field equationssuperposition principleequivalence principle
Original: arXiv:2605.02136v2 · CC BY 4.0 · bridge42worlds