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Paper   IPM / Physic / 14415
School of Physics
  Title:   On the relativistic anisotropic configurations
1.  F. Shojai
2.  M. Kohandel
3.  A. Stepanian
  Status:   Published
  Journal: Eur. Phys. J. C
  No.:  6
  Vol.:  76
  Year:  2016
  Pages:   347
  Supported by:  IPM
In this paper we study anisotropic spherical polytropes within the framework of general relativity. Using the anisotropic Tolman-Oppenheimer-Volkov (TOV) equations, we explore the relativistic anisotropic Lane-Emden equations. We find how the anisotropic pressure affects the boundary conditions of these equations. Also we argue that the behaviour of physical quantities near the center of star changes in the presence of anisotropy. For constant density, a class of exact solution is derived with the aid of a new ansatz and its physical properties are discussed.

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