Modified Gravitational Waves Across Galaxies from Macroscopic Gravity

Abstract

We analyze the propagation of gravitational waves in a medium containing bounded subsystems ("molecules"), able to induce significant Macroscopic Gravity effects. We establish a precise constitutive relation between the average quadrupole and the amplitudes of a vacuum gravitational wave, via the geodesic deviation equation. Then we determine the modified equation for the wave inside the medium and the associated dispersion relation. A phenomenological analysis shows that anomalous polarizations of the wave emerge with an appreciable experimental detectability if the medium is identified with a typical galaxy. Both the modified dispersion relation (wave velocity less than the speed of light) and anomalous oscillations modes could be detectable by the incoming LISA or pulsar timing arrays experiments, having the appropriate size to see the concerned wavelengths (larger than the molecular size) and the appropriate sensitivity to detect the expected deviation from vacuum General Relativity.

arXiv comment10 pages, comments are welcome

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• Prospects of Probing Dark Matter Condensates with Gravitational Waves
• Upper Limit on the Dissipation of Gravitational Waves in Gravitationally Bound Systems
• Linear analysis of the gravitational beam-plasma instability
• The role of longitudinal polarizations in Horndeski and macroscopic gravity: Introducing gravitational plasmas