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.
This paper investigates self-gravitating spherically symmetric fluid models in Brans-Dicke gravity by incorporating structure scalars. We obtain ten scalar quantities using orthogonal splitting of the Reimann tensor and write down the set of governing equations in terms of these scalars. We determine inhomogeneity factors and conclude that inhomogeneity is a necessary condition for the resultant fluid models. Finally, we explore static inhomogeneous anisotropic spherical solutions with the help of these structure scalars.
This paper is devoted to study self-gravitating spherically symmetric fluid models in Brans-Dicke gravity. We formulate a set of equations which govern the dynamics of evolving gravitating fluids through Weyl tensor, shear tensor, expansion scalar, anisotropy, energy inhomogeneity, dissipation as well as scalar field. We also discuss some particular cases according to different dynamical conditions. It is concluded that fluid models for regular distribution of scalar field are consistent with general relativity and models due to irregular distribution of scalar field deviate from theory of general relativity.
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