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White Dwarfs in a Uniform Sphere Approximation, with General Relativity Effects Taken into Account

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The limiting mass of cold white dwarfs was first calculated by E. Stoner in an approximate model of a uniform star and was soon reduced by ~20% in papers by S. Chandrasekhar and L. D. Landau based on an exact solution of the equations for the stellar equilibrium. Here we examine uniform models of white dwarfs taking general relativity effects and the influence of finite temperature into account. Solutions are obtained in the form of finite analytic formulas and, for masses differing by no more than ~20% from the exact solutions, found by numerical integration of the differential equations for the stellar equilibrium.

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Authors and Affiliations

  1. Institute of Space Studies, Russian Academy of Sciences, Moscow, Russia

    G. S. Bisnovatyi-Kogan & E. A. Patraman

  2. Moscow Physicotechnical Institute MFTI, Dolgoprudnyi, Russia

    G. S. Bisnovatyi-Kogan & E. A. Patraman

  3. National Research Nuclear University, MIFI, Moscow, Russia

    G. S. Bisnovatyi-Kogan

Authors
  1. G. S. Bisnovatyi-Kogan
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  2. E. A. Patraman
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Correspondence to G. S. Bisnovatyi-Kogan.

Additional information

Translated from Astrofizika, Vol. 64, No. 4, pp. 551-557, November 2021.

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Bisnovatyi-Kogan, G.S., Patraman, E.A. White Dwarfs in a Uniform Sphere Approximation, with General Relativity Effects Taken into Account. Astrophysics 64, 504–511 (2021). https://doi.org/10.1007/s10511-021-09711-1

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  • DOI: https://doi.org/10.1007/s10511-021-09711-1

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