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

N. I. Kramarev; A. V. Yudin

doi:10.1134/s106377372109005x

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arXiv · 2112.11205

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

N. I. Kramarev·A. V. Yudin

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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 $1/\Lambda_{\mathrm G}\sim 10^{-36}$, 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.

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N. I. Kramarev, A. V. Yudin. 2021-12-14. Structure of Relativistic Stars Composed of Incompressible Matter in the Absence of Strict Electroneutrality. https://doi.org/10.1134/s106377372109005x

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