Stellar solutions with zero complexity obtained through a temporal metric deformation

Abstract

Abstract Two new static and spherically symmetric interior solutions in the regime isotropic and anisotropic fluid pressure with vanishing complexity are constructed. For the construction of these interior solutions the framework of Gravitational Decoupling considering an unusual way through the choose a temporal metric deformation is used. We use the Einstein’s universe solution and an ansatz as seed solutions. The solutions fulfill the fundamental physical acceptability conditions for a restricted set of compactness parameters.