2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/191444We construct extremal, spherically symmetric black hole solutions to 4D supergravity with charge assignments that preclude BPS-saturation. In particular, we determine the ground state energy as a function of charges and moduli. We find that the mass of the non-BPS black hole remains that of a marginal bound state of four basic constituents throughout the entire moduli space and that there is always a non-zero gap above the BPS bound.29 pages, one appendix, no figures; v2. few comments and references added and a missing sign included; v3. further references addedHigh Energy Physics - Theorytext