Hydrodynamics of Gaseous System in Massive Brans-Dicke Gravity

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.

arXiv comment22 pages, no figure, title is changed, some instability conditions are developed, references are updated