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As a candidate of dark matter, and related to many fundamental physicsissues, the primordial black hole (PBH) is a crucial topic. However, so far theexistence of PBHs is still not confirmed, and currently running GW detectorsare still not able to distinguish them from the normal astrophysical BHs. Inthis article, we propose that the GWs (of PBH binary mergers) could interactwith the very widespread background galactic magnetic fields in the Milky way,to produce the perturbed electromagnetic waves (EMWs) with uniquecharacteristics of frequencies, waveforms, spectra and polarizations. In orderto be distinguished from astrophysical black holes, only the PBHs with massesless than the solarmass are considered here, and their binary mergers willradiate GWs in frequencies much higher above the plasma frequency ofinterstellar medium (ISM), so corresponding perturbed EMWs (in the samefrequencies to such GWs) can propagate through the ISM until the Earth. Ourestimations show that, for the sub-solar mass PBH binary mergers within theMilky way (disk or halo), the strengths of the perturbed EMWs turn intoconstant levels around 10^{-12} Tesla (for magnetic components) and around10^{-10}Watt m^{-2} (for energy flux densities) at the Earth, generally for allcases of different PBH masses (and not dependent on the distance of sources),and the same mass ratio of the PBH binary gives the same strength (at theEarth) of perturbed EMWs despite different PBH masses (GW frequencies) orbinary distances. Differently, for the PBH binary mergers outside the Milkyway, the perturbed EMWs at Earth have lower strengths (and depend on thedistance of sources), but for some part of distance range, they would also bedetectable. If such EM signals and special EM counterpart of GWs from PBHscould be detected by space- or land-based EMWs detectors, it may provide directevidence of the PBHs.

Distinctive electromagnetic signals caused by gravitational waves (of  sub-solar mass primordial black hole binary mergers) interacting with  galactic magnetic fields