Ultra-compact anisotropic stellar model with vanishing complexity

Abstract We develop a realistic stellar model for configurations of ultra-compact anisotropic self-gravitating space-times with a vanishing complexity condition. For this, we consider a static spherical geometry and calculate the corresponding complexity factor with the help of the technique recently proposed by L. Herrera. We then use the inverse of the radial metric component of the line element of Einstein’s universe as our radial metric to solve the set of gravitational field equations for the anisotropic relativistic fluid. By substituting this into the vanishing complexity constraint, we get a differential equation whose analytic solution gives the temporal metric function, which further helps to complete a stellar solution. Afterwards, we perform a detailed graphical analysis for different values of the compactness parameter. This leads to the conclusion that the resulting model fulfils the acceptability conditions of a realistic stellar compact object and can be related to the metastable stages between a neutron star and a black hole.