Eur. Phys. J. A (2016) 52: 312
https://doi.org/10.1140/epja/i2016-16312-x

Regular Article - Theoretical Physics

Modelling of anisotropic compact stars of embedding class one

¹ Department of Mathematics, Government General Degree College, 712 409, Singur, Hooghly, West Bengal, India
² Department of Mathematical & Physical Sciences, College of Arts & Science, University of Nizwa, Nizwa, Oman
³ Department of Mathematics, Raj Kumar Goel Institute of Technology, Ghaziabad, U.P., India
⁴ Department of Commerce (Evening), St. Xavier’s College, 30, Mother Teresa Sarani, 700 016, Kolkata, West Bengal, India

^* e-mail: sunil@unizwa.edu.om

Received: 13 June 2016
Accepted: 15 September 2016
Published online: 14 October 2016

Abstract

In the present article, we have constructed static anisotropic compact star models of Einstein field equations for the spherical symmetric metric of embedding class one. By assuming the particular form of the metric function , we have solved the Einstein field equations for anisotropic matter distribution. The anisotropic models represent the realistic compact objects such as SAX J 1808.4-3658 (SS1), Her X-1, Vela X-12, PSR J1614-2230 and Cen X-3. We have reported our results in details for the compact star Her X-1 on the ground of physical properties such as pressure, density, velocity of sound, energy conditions, TOV equation and red-shift etc. Along with these, we have also discussed about the stability of the compact star models. Finally we made a comparison between our anisotropic stars with the realistic objects on the key aspects as central density, central pressure, compactness and surface red-shift.