Decoupled Embedding Class-One Strange Stars in Self-Interacting Brans–Dicke Gravity

Abstract

This work aims to extend two isotropic solutions to the anisotropic domain by decoupling the field equations in self-interacting Brans–Dicke theory. The extended solutions are obtained by incorporating an additional source in the isotropic fluid distribution. We deform the radial metric potential to disintegrate the system of field equations into two sets such that each set corresponds to only one source (either isotropic or additional). The system related to the anisotropic source is solved by employing the MIT bag model as an equation of state. Further, we develop two isotropic solutions by plugging well-behaved radial metric potentials in Karmarkar’s embedding condition. The junction conditions at the surface of the star are imposed to specify the unknown constants appearing in the solution. We examine different physical characteristics of the constructed quark star models by using the mass and radius of PSR J1903+327. It is concluded that, in the presence of a massive scalar field, both stellar structures are well-behaved, viable and stable for smaller values of the decoupling parameter.

Effects of non-minimal matter-geometry coupling on embedding class-one anisotropic solutions

“…By suggesting a particular metric function, Singh et al [55] formed singularity-free solution for spherical geometry with the help of this technique. This work has been extended by Sharif and his collaborators [56][57][58][59][60][61][62].…”