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.

18 pages, 5 figs

References in corpus (4)

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• On the Magnetic Field of Pulsars with Realistic Neutron Stars Configurations
• How much electric surcharge fits on ... a white dwarf star?
• Electrically non-neutral ground states of stars