Table of Contents
Journal of Astrophysics
Volume 2013 (2013), Article ID 539847, 9 pages
http://dx.doi.org/10.1155/2013/539847
Research Article

New Classes of Charged Spheroidal Models

Department of Mathematics, Eastern University, 30350 Chenkalady, Sri Lanka

Received 25 March 2013; Accepted 25 August 2013

Academic Editors: M. S. Dimitrijevic, A. Mesinger, L. Nicastro, A. S. Pozanenko, and A. Pradhan

Copyright © 2013 S. Thirukkanesh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

New classes of exact solutions to the Einstein-Maxwell system is found in closed form by assuming that the hypersurface is spheroidal. This is achieved by choosing a particular form for the electric field intensity. A class of solution is found for all positive spheroidal parameter for a specific form of electric field intensity. In general, the condition of pressure isotropy reduces to a difference equation with variable, rational coefficients that can be solved. Consequently, an explicit solution in series form is found. By placing restrictions on the parameters, it is shown that the series terminates and there exist two classes of solutions in terms of elementary functions. These solutions contain the models found previously in the limit of vanishing charge. Solutions found are directly relating the spheroidal parameter and electric field intensity. Masses obtained are consistent with the previously reported experimental and theoretical studies describing strange stars. A physical analysis indicates that these models may be used to describe a charged sphere.