NEUTRON STARS IN A UNIFORM DENSITY APPROXIMATION

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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%.

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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Copyright (c) 2023 Г.С. Бисноватый-Коган, Е.А. Патраман

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