Charged polytropic stars and a generalization of Lane-Emden equation

摘要

In this paper we discuss charged stars with polytropic equation of state, where we derive an equation analogous to the Lane-Endem equation. We assume that these stars are spherically symmetric, and the electric field have only the radial component. First we review the field equations for such stars and then we proceed with the analog of the Lane-Emden equation for a polytropic Newtonian fluid and their relativistic equivalent (Tooper, 1964).(1) These kind of equations are very interesting because they transform all the structure equations of the stars in a group of differential equations which axe much more simple to solve than the source equations. These equations can be solved numerically for some boundary conditions and for some initial parameters. For this we assume that the pressure caused by the electric field obeys a polytropic equation of state too.