Isotropization and Complexity of Decoupled Solutions in Self-interacting Brans-Dicke Gravity

TL;DR

This paper develops new solutions in self-interacting Brans-Dicke gravity by decoupling field equations and imposing isotropization and complexity conditions, resulting in stable, physically viable stellar models.

Contribution

It introduces a novel method to decouple field equations using minimal geometric deformation and applies isotropization and complexity constraints in Brans-Dicke gravity.

Findings

Generated stable stellar models matching PSR J1614-2230

Demonstrated physical viability of new solutions under specific parameters

Showed that decoupling approach yields well-behaved solutions

Abstract

The aim of this work is to formulate two new solutions by decoupling the field equations via a minimal geometric deformation in the context of self-interacting Brans-Dicke gravity. We introduce an extra source in the anisotropic fluid distribution to generate new analogs of existing solutions. The radial metric function is transformed to decouple the field equations into two sets such that each array corresponds to one source only. The system corresponding to the original matter distribution is specified by metric functions of well-behaved solutions. On the other hand, the second set is closed by imposing constraints on the additional matter source. For this purpose, we have applied the isotropization condition as well as vanishing complexity condition on the new source. Smooth matching of interior and exterior spacetimes at the junction provides values of the unknown constants. Interesting physical features of corresponding models are checked by employing the mass and radius of the star PSR J1614-2230. It is concluded that both extensions yield viable and stable models for certain values of the decoupling parameter.