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Recently the international pulsar timing array collaboration has announcedthe first strong evidence for an isotropic gravitational wave background (GWB).We propose that rapid small oscillations (wiggles) in the Hubble parameterwould trigger a resonance with the propagating gravitational waves, leavingnovel signature in the GWB spectrum in the form of sharp resonance peaks. Theproposed signal can appear at all frequency ranges and is common to continuousspectrum GWBs with arbitrary origin. Due to its resonant nature, the signalstrength differs by a perturbation order depending on whether the GWB isprimordial or not, which makes it a smoking gun for the primordial origin ofthe observed GWB. We show that a large part of the parameter space of suchsignal can be constrained by near future PTA observations, while fitting thesignal template to the current NanoGrav 15yr data already hints an interestingfeature near 15 nHz.

Can the gravitational wave background feel wiggles in spacetime?