Universal density profiles with a central cusp

Grounding on both theoretical predictions and observational evidences, gas and stars contribute to about one tenth of the total mass of galaxies, and are lying within a more extended subsystem made of some (still unspecified) dark matter. The knowledge of the density profile of such dark matter halos is important, in that it influences the contraction of the baryonic subsystem, and then the structure of the virialized galaxy. In the current attempt, the general theory of realistic density profiles is performed, and explicit expressions of some physical parameters are derived. We are interested in triaxial, ellipsoidal structures where the isodensity surfaces are similar and co-axial ellipsoids.