A new class of solutions of compact stars with charged distributions on pseudo-spheroidal spacetime

2015/11/04 by V. O. Thomas, Thomas, V. O., D. M. Pandya +1
Physics and Astronomy · #FOS: Physical sciences #General Physics (physics.gen-ph) #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.1511.04399

30 pages, 10 figures, Accepted for Publication in Astrophysics and Space Science. arXiv admin note: substantial text overlap with arXiv:1507.03382

arxiv created 2015/11/04 · arxiv updated 2015/11/16

Abstract

In this paper a new class of exact solutions of Einstein's field equations for compact stars with charged distributions is obtained on the basis of pseudo-spheroidal spacetime characterized by the metric potential g_rr=\frac1+K\fracr²R²1+\fracr²R², where K and R are geometric parameters of the spacetime. The expressions for radial pressure ( p_r ) and electric field intensity ( E ) are chosen in such a way that the model falls in the category of physically acceptable one. The bounds of geometric parameter K and the physical parameters p₀ and α are obtained by imposing the physical requirements and regularity conditions. The present model is in good agreement with the observational data of various compact stars like 4U 1820-30, PSR J1903+327, 4U 1608-52, Vela X-1, SMC X-4, Cen X-3 given by Gangopadhyay \emet al. [Gangopadhyay T., Ray S., Li X-D., Dey J. and Dey M., \it Mon. Not. R. Astron. Soc. \bf431 (2013) 3216]. When α= 0, the model reduces to the uncharged anisotropic distribution given by Thomas and Pandya [Thomas V. O. and Pandya D. M.,~arXiv:1506.08698v1 [gr-qc](26 Jun 2015)].

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