Composite spherically symmetric configurations in Jordan-Brans-Dicke theory

TL;DR

This paper constructs and analyzes composite spherically symmetric solutions in Jordan-Brans-Dicke theory by matching conformal solutions at junctions, resulting in a unified differentiable manifold.

Contribution

It introduces a method to create composite solutions in Jordan-Brans-Dicke theory by matching conformal solutions at junctions, forming a single smooth manifold.

Findings

Successfully constructed composite solutions in Jordan-Brans-Dicke theory.

Established a rigorous method for matching solutions at junction surfaces.

Unified multiple solutions into a single differentiable manifold.

Abstract

In this article, a study of the scalar field shells in relativistic spherically symmetric configurations has been performed. We construct the composite solution of Jordan-Brans-Dicke field equation by matching the conformal Brans solutions at each junction surfaces. This approach allows us to associate rigorously with all solutions as a single glued "space", which is a unique differentiable manifold M^4.