We construct an analytical family of conformastat spherically symmetric spacetimes representing anisotropic fluid matter distributions from Newtonian potential-density pairs and its circular speed profile. As a simple application, we present,… Click to show full abstract
We construct an analytical family of conformastat spherically symmetric spacetimes representing anisotropic fluid matter distributions from Newtonian potential-density pairs and its circular speed profile. As a simple application, we present, for the second member of this family, new models of relativistic anisotropic thick spherical shells. Such spacetimes are also used in the construction of a relativistic galaxy model composite by a central spherical bulge, the thick disk and the dark matter halo, writing the metric in cylindrical coordinates. Moreover, the geodesic motion of test particles in stable circular orbits around such structures is studied. The models constructed satisfy all the energy conditions and the principal stresses are positive quantities (pressure).
               
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