2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/6216I review in this work the properties of nuclear and quark matter equation of state under the influence of a strong magnetic field. We analyse the results when they are applied to compact stars description. Finally, we describe the emission of gravitational wave from a compact star that goes over a phase transition.15 pages, ICIMAF WorkshopAstrophysicstext