Anisotropic star by gravitational decoupling: A vanishing complexity approach

A new static spherically symmetric interior solution has been derived using Gravitational Decoupling via Complete Geometric Deformation, satisfying the vanishing complexity which explores the fundamental physical acceptability of the stellar model. In the current analysis, we present a systematic approach proposed by L. Herrera [Phys Rev D 97: 044010, 2018] and Contreras-Stuchlik [Eur Phys J C 82: 706, 2022] to derive a complexity-free solution. We plotted the graphical behavior of the energy density, radial pressure, tangential pressure, equation of state parameters, anisotropy, and stability analysis, respectively to check the physical viability of the complexity-free solution. In addition, we also discuss the energy exchange between the relativistic fluids which shows that the decoupling constant controls the direction of the energy exchange. •We have investigated anisotropic stars by gravitational decoupling.•A vanishing complexity approach is used to solve the systems.•The energy exchange between the fluid distributions are discussed.•The obtained anisotropic solution is physically viable for modeling of compact objects.