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#### Gravitational spin Hall effect of light

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2003.04553.pdf

(Preprint), 682KB

PhysRevD.102.024075.pdf

(Publisher version), 775KB

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##### Citation

Oancea, M., Joudioux, J., Dodin, I. Y., Ruiz, D. E., Paganini, C., & Andersson, L. (2020).
Gravitational spin Hall effect of light.* Physical Review D,* *102*(2):
024075. doi:10.1103/PhysRevD.102.024075.

Cite as: https://hdl.handle.net/21.11116/0000-0005-DF0A-6

##### Abstract

The propagation of electromagnetic waves in vacuum is often described within

the geometrical optics approximation, which predicts that wave rays follow null

geodesics. However, this model is valid only in the limit of infinitely high

frequencies. At large but finite frequencies, diffraction can still be

negligible, but the ray dynamics becomes affected by the evolution of the wave

polarization. Hence, rays can deviate from null geodesics, which is known as

the gravitational spin Hall effect of light. In the literature, this effect has

been calculated ad hoc for a number for special cases, but no general

description has been proposed. Here, we present a covariant WKB analysis from

first principles for the propagation of light in arbitrary curved spacetimes.

We obtain polarization-dependent ray equations describing the gravitational

spin Hall effect of light. We also present numerical examples of

polarization-dependent ray dynamics in the Schwarzschild spacetime, and the

magnitude of the effect is briefly discussed. The analysis presented here is

analogous to the spin Hall effect of light in inhomogeneous media, which has

been experimentally verified.

the geometrical optics approximation, which predicts that wave rays follow null

geodesics. However, this model is valid only in the limit of infinitely high

frequencies. At large but finite frequencies, diffraction can still be

negligible, but the ray dynamics becomes affected by the evolution of the wave

polarization. Hence, rays can deviate from null geodesics, which is known as

the gravitational spin Hall effect of light. In the literature, this effect has

been calculated ad hoc for a number for special cases, but no general

description has been proposed. Here, we present a covariant WKB analysis from

first principles for the propagation of light in arbitrary curved spacetimes.

We obtain polarization-dependent ray equations describing the gravitational

spin Hall effect of light. We also present numerical examples of

polarization-dependent ray dynamics in the Schwarzschild spacetime, and the

magnitude of the effect is briefly discussed. The analysis presented here is

analogous to the spin Hall effect of light in inhomogeneous media, which has

been experimentally verified.