Stability of Oscillating Gaseous Masses in Massive Brans-Dicke Gravity

TL;DR

This study investigates the stability of gaseous masses under radial oscillations within massive Brans-Dicke gravity, revealing significant differences from general relativity and standard Brans-Dicke theory.

Contribution

It derives a linearized perturbed equation of motion for gaseous masses in massive Brans-Dicke gravity and analyzes their stability conditions.

Findings

Instability radius varies with polytropic structures.

Results differ notably from general relativity.

Provides new insights into gravitational stability in alternative theories.

Abstract

This paper explores the instability of gaseous masses for the radial oscillations in post-Newtonian correction of massive Brans-Dicke gravity. For this purpose, we derive linearized perturbed equation of motion through Lagrangian radial perturbation which leads to the condition of marginal stability. We discuss radius of instability of different polytropic structures in terms of the Schwarzschild radius. It is concluded that our results provide a wide range of difference with those in general relativity and Brans-Dicke gravity.