On the Stability of Spherically Symmetric Configurations in Newtonian Limit of Jordan, Brans-Dicke Theory

TL;DR

This paper investigates the stability of spherically symmetric static solutions in the Newtonian limit of Jordan-Brans-Dicke theory, revealing that more compact models are more stable and stable configurations exist across various polytropic indices.

Contribution

It provides a linear stability analysis of spherically symmetric solutions in the Newtonian limit of Jordan-Brans-Dicke theory, highlighting stability dependence on compactness and polytropic index.

Findings

More compact models are more stable.

Stable configurations exist for all polytropic indices.

Linear stability analysis confirms the existence of stable solutions.

Abstract

We discuss stability of spherically symmetric static solutions in Newtonian limit of Jordan, Brans-Dicke field equations. The behavior of the stable equilibrium solutions for the spherically symmetric configurations considered here, it emerges that the more compact a model is, the more stable it is. Moreover, linear stability analysis shows the existence of stable configurations for any polytropic index.