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Utilizing the bounds on primordial magnetic fields (PMFs), theircontributions to secondary gravitational waves (GWs) and the results from thepulsar timing arrays (PTAs), we arrive at constraints on the epoch ofreheating. We find that the combined spectral density of primary and secondaryGWs (generated by the PMFs) can, in general, be described as a broken power lawwith five different indices. We show that the PMFs that have a blue tilt andsatisfy the other observational constraints can generate secondary GWs ofstrengths suggested by the PTA data.

Constraining inflationary magnetogenesis and reheating via GWs in light of PTA data