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Higher-order geometrical optics for electromagnetic waves on a curved spacetime

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arxiv 1801.02273 v3 pith:CNXBDLHF submitted 2018-01-07 gr-qc astro-ph.COmath-phmath.MP

classification gr-qcastro-ph.COmath-phmath.MP
keywords curvedelectromagneticgeneralhigher-orderspacetimestress-energytermswaves
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We study the geometrical-optics expansion for circularly-polarized electromagnetic waves propagating on a curved spacetime in general relativity. We show that higher-order corrections to the Faraday and stress-energy tensors may be found via a system of transport equations, in principle. At sub-leading order, the stress-energy tensor possesses terms proportional to the wavelength whose sign depends on the handedness of the circular polarization. Due to such terms, the direction of energy flow is not aligned with the gradient of the eikonal phase, in general, and the wave may carry a transverse stress.

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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. 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.

  2. Covariant variation for point-particle Lagrangians

    gr-qc 2026-06 unverdicted novelty 6.0 of 10

    Introduces covariant variations for worldline models to simplify MPD equations and provide a Lagrangian for nongeodesic light propagation in GR.

  3. Gravitational Lensing of Gravitational Waves: Towards a Higher-order Geometric-optics Approach

    gr-qc 2026-07 conditional novelty 5.0 of 10

    Lensed gravitational waves acquire apparent vector and scalar polarization modes at subleading order in geometric optics, fully determined by the leading-order tensor signal.

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