Abstract

We find a new class of exact solutions to the Einstein-Maxwell equations which can be used to model the interior of charged relativistic objects. These solutions can be written in terms of special functions in general; for particular parameter values it is possible to find solutions in terms of elementary functions. Our results contain models found previously for uncharged neutron stars and charged isotropic spheres.

Highlights

  • The Einstein-Maxwell system of field equations are applicable in modelling relativistic astrophysical systems

  • We need to generate exact solutions to these field equations to model the interior of a charged relativistic star that should be matched to the Reissner-Nordstrom exterior spacetime at the boundary

  • We have studied the Einstein-Maxwell system of equations for a particular choice of the electric field intensity

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Summary

A CLASS OF CHARGED RELATIVISTIC SPHERES

K.Komathiraj and S.D.Maharaj1 1Astrophysics and Cosmology Research Unit, School of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X54001, Durban 4000, South Africa. Abstract- We find a new class of exact solutions to the Einstein-Maxwell equations which can be used to model the interior of charged relativistic objects. These solutions can be written in terms of special functions in general; for particular parameter values it is possible to find solutions in terms of elementary functions. Our results contain models found previously for uncharged neutron stars and charged isotropic spheres

INTRODUCTION
SPHERICALLY SYMMETRIC SPACETIME
NEW SOLUTIONS
SPECIAL CASES
DISCUSSION
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