Anisotropic generalization of Buchdahl bound for specific stellar models

  title={Anisotropic generalization of Buchdahl bound for specific stellar models},
  author={Ranjan Sharma and Arpita Ghosh and Soumik Bhattacharya and S. Das},
Anisotropy is one factor that appears to be significantly important in the studies of relativistic compact stars. In this paper, we make a generalization of the Buchdahl limit by incorporating an anisotropic effect for a selected class of exact solutions describing anisotropic stellar objects. In the isotropic case of a homogeneous distribution, we regain the Buchdahl limit 2M/R ≤ 8/9. Our investigation shows a direct link between the maximum allowed compactness and pressure anisotropy vi-a-vis… Expand

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