In the most general symmetric teleparallel gravity, gravitational waves always include tensor modes, and with hypermomentum-carrying test particles they always include extra shear and longitudinal modes traveling at light speed.
Teleparallel gravity: from theory to cosmology
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Polarization modes of gravitational waves in general symmetric teleparallel gravity
In the most general symmetric teleparallel gravity, gravitational waves always include tensor modes, and with hypermomentum-carrying test particles they always include extra shear and longitudinal modes traveling at light speed.