Extended Gravitational Decoupled Solutions in Self-interacting Brans-Dicke Theory

TL;DR

This paper develops new anisotropic solutions in self-interacting Brans-Dicke theory using extended gravitational decoupling, analyzing their physical viability and stability through graphical methods.

Contribution

It introduces a method to generate anisotropic solutions from known isotropic solutions within self-interacting Brans-Dicke theory using extended gravitational decoupling.

Findings

Solutions are physically viable for specific decoupling parameter values.

The scalar field and decoupling parameter significantly influence solution properties.

Solutions exhibit acceptable stability and compactness characteristics.

Abstract

In this paper, we construct anisotropic spherical solutions from known isotropic solutions through extended gravitational decoupling method in the background of self-interacting Brans-Dicke theory. The field equations are decoupled into two sets by applying geometric deformations on radial as well as temporal metric components. The first array corresponds to isotropic fluid while influence of the anisotropic source is confined to the second set. The isotropic sector is determined through metric functions of isotropic solutions (Tolman IV/Krori-Barua) whereas two constraints on the anisotropic source are required to close the second system. The impact of the massive scalar field as well as the decoupling parameter on the physical characteristics of the anisotropic solutions is analyzed graphically. We also check the viability, compactness, surface redshift and stability of the obtained solutions. It is found that the resulting solutions follow accepted physical trend for some values of the decoupling parameter.