• Incompressible Einstein–Maxwell fluids with specified electric fields

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/081/04/0557-0567

    • Keywords

       

      Einstein–Maxwell equations; relativistic astrophysics; charged fluid spheres.

    • Abstract

       

      The Einstein–Maxwell equations describing static charged spheres with uniform density and variable electric field intensity are studied. The special case of constant electric field is also studied. The evolution of the model is governed by a hypergeometric differential equation which has a general solution in terms of special functions. Several classes of exact solutions are identified which may be considered as charged generalizations of the incompressible Schwarzschild interior model. An analysis of the physical features is undertaken for the uniform case. It is demonstrated that uniform density spheres with constant electric field intensity are not realizable with isotropic pressures. This highlights the necessity of studying the criteria for physical admissability of gravitating spheres in general relativity which are solutions to the Einstein–Maxwell equations.

    • Author Affiliations

       

      S Hansraj1 S D Maharaj1 T Mthethwa1

      1. Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, Durban 4000, South Africa
    • Dates

       
  • Pramana – Journal of Physics | News

© 2017 Indian Academy of Sciences, Bengaluru.