Sustenance of isotropic pressure constraint in spherically symmetric object

This work deals with investigating the constraints to comprehend the stability of the isotropic pressure condition in magnetized Brans-Dicke theory with a chameleonic scalar field. We will consider a spherically symmetric metric for dissipative fluid content in the case of a dynamical system. We formulate certain mathematical expressions using field equations, mass function, Bianchi identities, etc., and show correspondence between them. We computed a differential equation for the conformal scalar, crucial for examining the evolution of the modified system influenced by the electromagnetic field. We developed another galactic expression that specifies the evolution of the anisotropic factor and isotopic pressure condition. The findings imply that several physical factors create pressure anisotropy in an initially isotropic matter content. These dynamical variables include dissipative flux, shear flow, or density inhomogeneity.