Abstract
In this report we present the generalization of a solution to Einstein’s equations with perfect fluid for the case of Einstein–Maxwell with perfect fluid. The effect of the charge is reflected by a parameter, ν, and its interval is determined by the positivity condition from the pressure in the interior of the star. It is shown that the solution is stable according to the Zeldovich criteria as well as in relation to the criteria of the adiabatic index. The compactness, u = GM/c 2 R, of this charged model is greater than it is for the chargeless case as a result of the effect of the presence of the charge. This allows it to represent stars with a high compactness, in particular a graphic analysis is presented for the star SAX J1808.4-3658 with mass M = 1.435M ⊙ and radius R = 7.07 km. From these data and employing the solution, we obtain that the total maximum charge for the star is Q = 2.4085 × 1020 C.
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