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Spin Hall effect of gravitational waves

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arxiv 1708.03113 v3 pith:CTHWWWOB submitted 2017-08-10 hep-th cond-mat.othergr-qcphysics.optics

classification hep-thcond-mat.othergr-qcphysics.optics
keywords gravitationalwavesgravitonsberrycorrectioncurvatureeffecthall
verification ladder T0 review T1 audit T2 compute T3 formal
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Gravitons possess a Berry curvature due to their helicity. We derive the semiclassical equations of motion for gravitons taking into account the Berry curvature. We show that this quantum correction leads to the splitting of the trajectories of right- and left-handed gravitational waves in curved space, and that this correction can be understood as a topological phenomenon. This is the spin Hall effect (SHE) of gravitational waves. We find that the SHE of gravitational waves is twice as large as that of light. Possible future observations of the SHE of gravitational waves can potentially test the quantum nature of gravitons beyond the classical general relativity.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Spin Hall effect and Berry curvature of gravitons from quantum field theory

    hep-th 2026-05 unverdicted novelty 7.0 of 10

    Gravitons show a helicity-dependent spin Hall effect from Berry curvature, producing an energy Hall current splitting exactly twice as large as the photon case.

  2. Spinoptics in the presence of axion-like particles in curved spacetime

    gr-qc 2026-07 accept novelty 6.5 of 10

    Spinoptics equations for axion–Maxwell theory yield helicity-dependent photon trajectory corrections from both spacetime curvature and arbitrary axion profiles.

  3. Pseudodifferential Weyl calculus on vector bundles

    math-ph 2025-07 conditional novelty 6.0 of 10

    A geometric Weyl calculus for vector bundles over pseudo-Riemannian manifolds, with a third-order star product expansion and Weyl symbols for Dirac, Maxwell, Yang-Mills, and linearized Einstein operators.

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