Protective headgear apparatus (such as a helmet used for contact sports) is formed to comprise a non-rigid outer shell in the form of multiple layers of open-cell foam, each layer having a different density. A flexible, lightweight metal frame (i.e., a “cage”) is disposed to contact the inner surface of the outer shell (i.e., bonded in a manner that essentially “locks” the frame to the foam layer), and an open-cell foam cushion layer (in a waffle-like pattern) is bonded to the exposed surface of the metal frame. The various foam layers are preferably impregnated with activated carbon particles that electrostatically absorb (i.e., “capture”) the energy caused by blows to the outer shell. The captured energy is thereafter distributed throughout the volume of the foam layer itself, so as to minimize the amount of energy that reaches the wearer's head.