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arXiv · 1708.06608

Compact stars with specific mass function

S. K. Maurya·Y. K. Gupta·Farook Rahaman·Monsur Rahaman·Ayan Banerjee
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Abstract

Aims: In the present work we search for a new model of compact star within embedding class one spacetime i.e., four dimensional spacetime embedded in five dimensional Pseudo Euclidean space. Methods: In particular we propose a new mass function to obtain an exact analytic solutions of the Einstein field equations. For this specific? mass function, obtained solutions are well-behaved at the centre of the star, satisfy all energy conditions and the mass-radius relation fall within the limit proposed by Buchdahl [1]. Results: The static equilibrium condition has been maintained under different forces. We have discussed the solutions in detail and compare with a set of astrophysical objects like 4U1608-52, PSR J1903+327, PSR J1614-2230 and X-ray pulsar Vela X-1 is also explored.

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S. K. Maurya, Y. K. Gupta, Farook Rahaman, Monsur Rahaman, Ayan Banerjee. 2017-08-11. Compact stars with specific mass function. https://doi.org/10.1016/j.aop.2017.08.005

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