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On role of pressure anisotropy for relativistic stars admitting conformal motion
Authors:Farook Rahaman  Mubasher Jamil  Mehedi Kalam  Kaushik Chakraborty and Ashis Ghosh
Institution:(1) Department of Physics, North Bengal University, Darjeeling, 734 430, India;(2) Inter-University Centre for Astronomy and Astrophysics, Post Bag 4, Ganeshkhind, Pune, 411 007, India;(3) Astrophysics and Cosmology Research Unit. School of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X54001, Durban, 4000, South Africa
Abstract:We investigate the spacetime of anisotropic stars admitting conformal motion. The Einstein field equations are solved using different ansatz of the surface tension. In this investigation, we study two cases in details with the anisotropy as: (1) p t =n p r , (2) -p_r=(+c_2)p_{t}-p_{r}=\frac{1}{8\pi}(\frac{c_{1}}{r^{2}}+c_{2}) where, n, c 1 and c 2 are arbitrary constants. The solutions yield expressions of the physical quantities like pressure gradients and the mass.
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