NEUTRON STARS IN A UNIFORM DENSITY APPROXIMATION

G. S. Bisnovatyi-Kogan; Бисноватый-Коган Г. С.; E. A. Patraman; Патраман Е. А.

doi:10.31857/S0004629923080017

NEUTRON STARS IN A UNIFORM DENSITY APPROXIMATION

Authors: Bisnovatyi-Kogan G.S.¹^,2^,3, Patraman E.A.¹^,3
Affiliations:
1. Space Research Institute of the Russian Academy of Sciences
2. National Research Nuclear University MEPhI
3. Moscow Institute of Physics and Technology
Issue: Vol 100, No 8 (2023)
Pages: 721-734
Section: Articles
URL: https://rjsvd.com/0004-6299/article/view/647559
DOI: https://doi.org/10.31857/S0004629923080017
EDN: https://elibrary.ru/HIQYGP
ID: 647559

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Abstract

Models of neutron stars are considered in the case of a uniform density distribution. A universal algebraic equation is obtained that is valid for any equation of state. This equation allows us to find the approximate mass of a star of a given density without resorting to the integration of differential equations. Solutions for various equations of state, including more realistic ones, are presented in the paper and differ from the exact solutions obtained by numerical integration of differential equations by no more than 20%.

Keywords

neutron stars, uniform model, general theory of relativity

About the authors

G. S. Bisnovatyi-Kogan

Space Research Institute of the Russian Academy of Sciences; National Research Nuclear University MEPhI; Moscow Institute of Physics and Technology

Author for correspondence.
Email: gkogan@mx.iki.rssi.ru
Russia, Moscow; Russia, Moscow; Russia, Dolgoprudny

E. A. Patraman

Space Research Institute of the Russian Academy of Sciences; Moscow Institute of Physics and Technology

Email: gkogan@mx.iki.rssi.ru
Russia, Moscow; Russia, Dolgoprudny

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