Structure of Relativistic Stars Composed of Incompressible Matter in the Absence of Strict Electroneutrality

Abstract

The structure of a star composed of locally non-electroneutral incompressible three-component matter is considered within the framework of general relativity. For thermodynamic quantities like the pressure, the solution can be represented as a series in the small parameter $1/{\Lambda }_{\mathrm{G}}\sim 10^{-36}$, where the first approximation is the well-known electroneutral solution. However, the equilibrium equations for the chemical potentials of the matter components, as it turns out, contain finite contributions from non-electroneutrality effects even in the zeroth order. Analytical solutions have been obtained for all of the parameters of the problem under consideration, which are illustrated by numerical examples.

arXiv comment18 pages, 5 figs

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