Anisotropic stellar structures admitting Karmakar condition in f(R, φ, χ) theory

Abstract

Abstract This article employs the Karmarkar condition to study the geometry of compact stars experiencing anisotropy in the context of f(R, φ, χ) gravity. The unknown constants involved in Karmarkar condition are calculated by matching the internal and external regimes at the hypersurface. We investigate the acceptable behavior of matter variables and anisotropy. The viability of all the resulting models is checked using energy bounds. We also discuss some important factors such as mass, compactness and redshift parameters. Finally, we investigate the stable aspect of considered stars through causality condition and Herrera cracking technique. We conclude that all the discussed stellar structures in this theory satisfy the required constraints.