Hydrodynamics of Gaseous System in Massive Brans-Dicke Gravity

TL;DR

This paper investigates the hydrodynamics and stability of stars within massive Brans-Dicke gravity using post-Newtonian approximation, providing generalized equations and analyzing specific spherically symmetric cases.

Contribution

It introduces a generalized framework for stellar hydrodynamics in massive Brans-Dicke gravity up to $O(c^{-4})$, extending previous models.

Findings

Derived generalized Euler equations for the system.

Analyzed stability and instability conditions for stars.

Discussed specific cases like dust, cosmic strings, and domain walls.

Abstract

This paper explores hydrodynamics and hydrostatic of a star in post-Newtonian approximation of massive Bran-Dicke gravity. We study approximated solution of the field equations upto $O(c^{-4})$ and generalize Euler equation of motion. We then formulate equations governing hydrodynamics, stability and instability of the system. Finally, we discuss spherically symmetric stars for a specific barptropic case like dust, cosmic string and domain wall in this scenario.