This paper explores hydrodynamics and hydrostatic of a star in the post-Newtonian approximation of massive Brans-Dicke gravity. We study approximated solutions of the field equations up to and generalize Euler equations of motion. We then formulate equations governing the stability and instability of the system. Finally, we discuss spherically symmetric stars for a specific barotropic case like dust, cosmic string and domain wall in this scenario.
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