2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/12150We analyze the spherically symmetric Einstein field equation with a massless complex scalar field. We can use the Newtonian solutions to fit the rotation curve data of spiral and dwarf galaxies. From the general relativistic solutions, we can derive high gravitational redshift values.11 pages, RevTeX, 10 Postscript figuresAstrophysicsGeneral Relativity and Quantum Cosmologytext