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

• Published in: Astronomy letters Vol. 47; no. 9; pp. 618 - 627
• Main Authors: Kramarev, N. I., Yudin, A. V.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01-09-2021; Springer Nature B.V
• Subjects: Astronomy; Astrophysics and Astroparticles; Equilibrium equations; Exact solutions; Observations and Techniques; Parameters; Physics; Physics and Astronomy; Relativity; Stars; stellar structure; neutron stars; general relativity; electroneutrality of matter
• ISSN: 1063-7737; 1562-6873
• DOI: 10.1134/S106377372109005X

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
, 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.