Axial gravitational waves in FLRW cosmology and memory effects

Abstract

We show initial data for gravitational axial waves, that are twice differentiable but which are not $C^2$. They generate wave pulses that interact with matter in the radiation cosmological era. This forces the radiation matter to rotate. This rotation is permanent - it persists after the passage of the gravitational pulse. The observed inhomogeneities of the cosmic microwave background radiation put a bound onto discontinuities of superhorizon metric perturbations. We explicitly show that a class of smooth initial metrics that are at least $C^2$ gives rise to gravitational wave pulses that do not interact with the background during the radiation epoch.

arXiv commentThis version matches the published article (Phys. Rev. D 96, 063523 (2017)). A note is added on interaction of axial gravitational waves with stars' interiors, with 3 new references

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Cited by in corpus (12)

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• Propagation of Polar Gravitational Waves in f(R,T) Scenario
• Memory Effect for Impulsive Gravitational Waves
• Scaling and conformal symmetries for plane gravitational waves
• Ion Traps and the Memory Effect for Periodic Gravitational Waves
• Curvature-Matter Coupling Effects on Axial Gravitational Waves
• Gravitational entropy and the cosmological no-hair conjecture
• Propagation of Axial and Polar Gravitational Waves in Kantowski-Sachs Universe
• Propagation of gravitational waves in various cosmological backgrounds
• Axial Gravitational Waves in Bianchi I Universe
• Memory effect of the pp waves with torsion
• On the propagation of gravitational waves in matter-filled Bianchi I universe