Relativistic stellar models |
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Authors: | A J JOHN S D MAHARAJ |
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Institution: | 1.Astrophysics and Cosmology Research Unit, School of Mathematical Sciences,University of KwaZulu-Natal,Durban,South Africa |
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Abstract: | We obtain a class of solutions to the Einstein–Maxwell equations describing charged static spheres. Upon specifying particular
forms for one of the gravitational potentials and the electric field intensity, the condition for pressure isotropy is transformed
into a hypergeometric equation with two free parameters. For particular parameter values we recover uncharged solutions corresponding
to specific neutron star models. We find two charged solutions in terms of elementary functions for particular parameter values.
The first charged model is physically reasonable and the metric functions and thermodynamic variables are well behaved. The
second charged model admits a negative energy density and violates the energy conditions. |
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