Propagation of polarized gravitational waves
arXiv:2012.08363 · doi:10.1103/PhysRevD.103.044053
Abstract
The propagation of high-frequency gravitational waves can be analyzed using the geometrical optics approximation. In the case of large but finite frequencies, the geometrical optics approximation is no longer accurate, and polarization-dependent corrections at first order in wavelength modify the propagation of gravitational waves via a spin-orbit coupling mechanism. We present a covariant derivation from first principles of effective ray equations describing the propagation of polarized gravitational waves, up to first-order terms in wavelength, on arbitrary spacetime backgrounds. The effective ray equations describe a gravitational spin Hall effect for gravitational waves and are of the same form as those describing the gravitational spin Hall effect of light, derived from Maxwell's equations.
References in corpus (31)
- Spin-orbit interactions of light
- Hall Effect of Light
- Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
- Geometrodynamics of Spinning Light
- Berry phase correction to electron density of states in solids
- The basics of gravitational wave theory
- Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium
- Spin Hall effect and Berry phase of spinning particles
- Phase effects from strong gravitational lensing of gravitational waves
- Spin Hall effect of Photons in a Static Gravitational Field
- Fermat Principle for spinning light
- Gravitational spin Hall effect of light
- Geometry of the transport equation in multicomponent WKB approximations
- Level sets of the lapse function in static GR
- Gravitational wave lensing beyond general relativity: birefringence, echoes and shadows
- Relativistic Hall Effect
- Mathisson's helical motions for a spinning particle --- are they unphysical?
- Center of mass, spin supplementary conditions, and the momentum of spinning particles
- Spinoptics in a stationary spacetime
- Wigner translations and the observer-dependence of the position of masslesss spinning particles
- Bootstrapping gravity: a consistent approach to energy-momentum self-coupling
- Wigner-Souriau translations and Lorentz symmetry of chiral fermions
- First-principle variational formulation of polarization effects in geometrical optics
- Gravitational lensing beyond geometric optics: I. Formalism and observables
- Spin Hall effect of gravitational waves
- Maxwell equations in a curved spacetime: Spin optics approximation
- Gravitational wave propagation beyond geometric optics
- Extending geometrical optics: A Lagrangian theory for vector waves
- Notes on Spinoptics in a Stationary Spacetime
- Gravitational Faraday and Spin-Hall Effects of Light
- An overview of the gravitational spin Hall effect
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- Semiclassical analysis of Dirac fields on curved spacetime
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- Self-consistent interaction of linear gravitational and electromagnetic waves in non-magnetized plasma
- Quantum geometric tensors from sub-bundle geometry
- Spinoptics in the Kerr Spacetime: Polarized Wave Scattering
- The precession of particle spin in spherical symmetric spacetimes
- Gauge-invariant gravitational waves in matter beyond linearized gravity
- Eikonal gravitational-wave lensing in Einstein-aether theory
- Gaussian beams and caustic avoidance in gravitational optics
- Finslerian geometrodynamics
- Spin Hall effects and the localization of massless spinning particles
- The effect of matter discreteness on gravitational wave propagation in post-geometrical optics