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

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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 \(1/\Lambda_{\textrm{G}}\sim 10^{-36}\), 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.

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Correspondence to N. I. Kramarev.

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Translated by V. Astakhov

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Kramarev, N.I., Yudin, A.V. Structure of Relativistic Stars Composed of Incompressible Matter in the Absence of Strict Electroneutrality. Astron. Lett. 47, 618–627 (2021). https://doi.org/10.1134/S106377372109005X

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  • DOI: https://doi.org/10.1134/S106377372109005X

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