An anisotropic extension of Heintzmann IIa solution with vanishing complexity factor

Abstract

Abstract This work is devoted to the construction of a new static and spherical solution for an anisotropic fluid distribution. The construction is based in the framework of gravitational decoupling through a particular case of the extended minimal geometric deformation called 2-steps GD. In this sense, the differential equations arising from gravitational decoupling are closed using the vanishing complexity factor. The Heintzmann IIa solution is used as seed solution. The solution fulfills the fundamental physical acceptability conditions for a restricted set of compactness parameters.