Self-gravitating spherically symmetric systems with <i>Q</i> <sub> <i>h</i> </sub> condition in chameleonic Brans–Dicke gravity

  • Z. Yousaf
    Department of Mathematics , University of the Punjab, Quaid-i-Azam Campus , Lahore , 54590 , Pakistan
  • M. Z. Bhatti
    Department of Mathematics , University of the Punjab, Quaid-i-Azam Campus , Lahore , 54590 , Pakistan
  • Sana Rehman
    Department of Mathematics , University of the Punjab, Quaid-i-Azam Campus , Lahore , 54590 , Pakistan

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<jats:title>Abstract</jats:title> <jats:p>This paper is asserted to explore the self-gravitating spherically symmetric anisotropic fluids in Chameleonic Brans–Dicke theory as dark energy matter. The dissipative and non-dissipative cases for the evolution of the system are discussed evidently satisfying the quasi-homologous condition with vanishing complexity (<jats:italic>Y</jats:italic> <jats:sub> <jats:italic>TF</jats:italic> </jats:sub>) factor, which is identified in the trace free part of the electric Riemann tensor in splitting of the curvature tensor. We formulate different equations through conformal tensor, mass function, shear stress tensor, scalar field to govern self-gravitating systems. A few models describe center filled fluid distribution whereas some of them have cavities surrounding the center by means of matching conditions on the boundary as well as on inner surfaces. The temperature of the respective models is also discussed here. Finally, we conclude the work by comparing it with GR.</jats:p>

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