Model of a static spherically symmetric anisotropic fluid distribution in paraboloidal spacetime admitting a polytropic equation of state
Department of Mathematics, Eastern University, Chenkalady, Sri Lanka
2 Department of Physics, Cooch Behar Panchanan Barma University, 736101, Cooch Behar, India
3 Department of Physics, P. D. Women’s College, Club Road, 735101, Jalpaiguri, India
Accepted: 30 July 2020
Published online: 6 August 2020
We report new class of solutions describing the interior of a spherically symmetric anisotropic star admitting a polytropic equation of state of the form . The assumed form of the EOS ensures that radial pressure vanishes at a finite distance from the centre which is a desirable feature of a compact star. In our formulation, we do not prescribe the radial fall-off behaviour of the anisotropic factor to generate new solutions; rather the solutions are obtained on the background spacetime which exhibits paraboloidal geometry. The solutions, obtained in simple algebraic form, are well-behaved and satisfy the necessary conditions of a realistic star. An interesting feature of the subsequent stellar model is that the radial pressure dominates over the tangential pressure over a wide range at the interior of the star. The physical consequence of this observation is discussed.
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