The Huygens principle and cosmological gravitational waves in the Regge-Wheeler gauge

Abstract

We study the propagation of axial gravitational waves in Friedman universes. The evolution equation is obtained in the Regge-Wheeler gauge. The gravitational waves obey the Huygens principle in the radiation dominated era, but in the matter dominated universe their propagation depends on their wavelengths, with the scale fixed essentially by the Hubble radius. Short waves practically satisfy the Huygens principle while long waves can backscatter off the curvature of a spacetime.

4 pages

References in corpus (4)

• Green's function for gravitational waves in FRW spacetimes
• Do Rotations Beyond the Cosmological Horizon Affect the Local Inertial Frame?
• Comments on tails in Schwarzschild spacetimes
• Note on the luminosity distance

Cited by in corpus (14)

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• Constraining the propagation speed of gravitational waves with compact binaries at cosmological distances
• Curvature-Matter Coupling Effects on Axial Gravitational Waves
• Axial gravitational waves in FLRW cosmology and memory effects
• Cosmological perturbations in the Regge-Wheeler formalism
• Propagation of Axial and Polar Gravitational Waves in Kantowski-Sachs Universe
• Explicit formulas and decay rates for the solution of the wave equation in cosmological spacetimes
• Group velocity of gravitational waves in an expanding universe
• Axial Gravitational Waves in Bianchi I Universe
• On the propagation of gravitational waves in matter-filled Bianchi I universe
• Features of gravitational waves in higher dimensions
• A possible new cosmological redshift effect due to $\Lambda$ on traveling gravitational waves in Friedmann universes