Compact stars with specific mass function
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.
Keywords
Cite
@article{arxiv.1708.06608,
title = {Compact stars with specific mass function},
author = {S. K. Maurya and Y. K. Gupta and Farook Rahaman and Monsur Rahaman and Ayan Banerjee},
journal= {arXiv preprint arXiv:1708.06608},
year = {2017}
}
Comments
21 pages, 23 figures and accepted for publication in Annals of Physics