Eur. Phys. J. A (2016) 52: 191
https://doi.org/10.1140/epja/i2016-16191-1

Regular Article - Theoretical Physics

A new exact anisotropic solution of embedding class one

¹ Department of Mathematical & Physical Sciences, College of Arts & Science, University of Nizwa, Nizwa, Sultanate of Oman
² Department of Mathematics, Raj Kumar Goel Institute of Technology, 201003, U.P., Ghaziabad, India
³ Department of Mathematics, Jadavpur University, 700032, Kolkata, West Bengal, India

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

Received: 22 February 2016
Accepted: 19 June 2016
Published online: 20 July 2016

Abstract

We have presented a new anisotropic solution of Einstein’s field equations for compact-star models. Einstein’s field equations are solved by using the class-one condition (S.N. Pandey, S.P. Sharma, Gen. Relativ. Gravit. 14, 113 (1982)). We constructed the expression for the anisotropy factor ( by using the pressure anisotropy condition and thereafter we obtained the physical parameters like energy density, radial and transverse pressure. These models parameters are well-behaved inside the star and satisfy all the required physical conditions. Also we observed the very interesting result that all physical parameters depend upon the anisotropy factor (. The mass and radius of the present compact-star models are quite compatible with the observational astrophysical compact stellar objects like Her X-1, RXJ 1856-37, SAX J1808.4-3658(SS1), SAX J1808.4-3658(SS2).