By perturbing f(T) gravity around FLRW and Bianchi I spacetimes, the authors find that only the two gravitational-wave polarizations propagate in the gravity sector.
From the action expanded up to the second order in Fourier space, we can co mpute the equations of motion
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$f(T)$ Gravity: Background Dependence and Propagating Degrees of Freedom
By perturbing f(T) gravity around FLRW and Bianchi I spacetimes, the authors find that only the two gravitational-wave polarizations propagate in the gravity sector.