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#### Gravitational Faraday and Spin-Hall Effects of Light

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2006.10077.pdf

(Preprint), 270KB

PhysRevD.104.084007.pdf

(Publisher version), 269KB

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##### Citation

Shoom, A. A. (2021). Gravitational Faraday and Spin-Hall Effects of Light.*
Physical Review D,* *104*(8): 084007. doi:10.1103/PhysRevD.104.084007.

Cite as: https://hdl.handle.net/21.11116/0000-0009-6306-1

##### Abstract

The gravitational Faraday and its dual spin-Hall effects of light arise in

space-times of non-zero angular momentum. These effects were studied in

stationary, asymptotically flat space-times. Here we study these effects in

arbitrary, non-stationary, asymptotically flat space-times. These effects arise

due to interaction between light polarisation and space-time angular momentum.

As a result of such interaction, the phase velocity of left- and right-handed

circularly polarised light becomes different, that results in the gravitational

Faraday effect. This difference implies different dynamics of these components,

that begin to propagate along different paths\textemdash the gravitational

spin-Hall effect of light. Due to this effect, the gravitational field splits a

multicomponent beam of unpolarized light and produces polarized gravitational

rainbow. The component separation is an accumulative effect observed in long

range asymptotics. To study this effect, we construct uniform eikonal expansion

and derive dynamical equation describing this effect. To analyse the dynamical

equation, we present it in the local space and time decomposition form. The

spatial part of the equation presented in the related optical metric is

analogous to the dynamical equation of a charged particle moving in magnetic

field under influence of the Coriolis force.

space-times of non-zero angular momentum. These effects were studied in

stationary, asymptotically flat space-times. Here we study these effects in

arbitrary, non-stationary, asymptotically flat space-times. These effects arise

due to interaction between light polarisation and space-time angular momentum.

As a result of such interaction, the phase velocity of left- and right-handed

circularly polarised light becomes different, that results in the gravitational

Faraday effect. This difference implies different dynamics of these components,

that begin to propagate along different paths\textemdash the gravitational

spin-Hall effect of light. Due to this effect, the gravitational field splits a

multicomponent beam of unpolarized light and produces polarized gravitational

rainbow. The component separation is an accumulative effect observed in long

range asymptotics. To study this effect, we construct uniform eikonal expansion

and derive dynamical equation describing this effect. To analyse the dynamical

equation, we present it in the local space and time decomposition form. The

spatial part of the equation presented in the related optical metric is

analogous to the dynamical equation of a charged particle moving in magnetic

field under influence of the Coriolis force.