From Cosmic Bounces to Primordial Black Holes: The Role of Primordial Magnetic Fields

We investigate primordial black hole (PBH) formation from primordial magnetic fields generated during a non-singular ekpyrotic bounce. A time-dependent coupling between the electromagnetic field and a scalar background breaks conformal invariance and amplifies gauge field fluctuations during contraction, generating magnetic fields whose anisotropic stress dominates during radiation domination. By retaining finite-wavenumber cutoffs, we compute the ultraviolet-dominated curvature spectrum, evaluate density-perturbation variance, and determine PBH abundances using both monochromatic and critical-collapse prescriptions. For benchmark parameters, the critical collapse mass spectrum peaks at M 2.0 times10-3M, with a total PBH dark matter fraction of f PBH about 10-5, forming a subdominant subsolar PBH population. Enforcing the cosmological overclosure bound (f PBH 1) constrains the primary background parameters, namely the end-of-contraction Hubble scale (H end 1.6 times 10 3 GeV) and the contraction exponent (q 0.247), establishing a physical boundary consistent with the electromagnetic backreaction limit. Shifting to asteroid-mass PBHs or a larger dark matter fraction requires modifying the ultraviolet cutoff and contraction duration. This analysis highlights the essential role of finite-wavenumber cutoffs and assumed-collapse prescriptions in linking bounce magnetogenesis to the predicted PBH abundance.