Eur. Phys. J. Plus (2015) 130: 3
https://doi.org/10.1140/epjp/i2015-15003-y

Regular Article

Anisotropic charged stellar models in Generalized Tolman IV spacetime

¹ Department of Mathematics and Natural Sciences, BRAC University, 1212, Dhaka, Bangladesh
² Department of Natural Sciences, Daffodil International University, 1207, Dhaka, Bangladesh

^* e-mail: mhmurad@bracu.ac.bd

Received: 28 September 2014
Revised: 13 November 2014
Accepted: 22 November 2014
Published online: 12 January 2015

Abstract

With the presence of electric charge and pressure anisotropy some anisotropic stellar models have been developed. An algorithm recently presented by Herrera et al. (Phys. Rev. D 77, 027502 (2008)) to generate static spherically symmetric anisotropic solutions of Einstein's equations has been used to derive relativistic anisotropic charged fluid spheres. In the absence of pressure anisotropy the fluid spheres reduce to some well-known Generalized Tolman IV exact metrics. The astrophysical significance of the resulting equations of state (EOS) for a particular case (Wyman-Leibovitz-Adler) for the anisotropic charged matter distribution has been discussed. Physical analysis shows that the relativistic stellar structure obtained in this work may reasonably model an electrically charged compact star, whose energy density associated with the electric fields is on the same order of magnitude as the energy density of fluid matter itself like electrically charged bare strange quark stars.