A study of the effect of relativity change of mass of the electrons with velocity on the M-R relations for a cold spherical body

Astronomy and Astrophysics – Astrophysics

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Astrophysics, High Energy Electrons, Metallic Stars, Particle Mass, Relativistic Particles, Electron Density (Concentration), Iron, Nickel, Radii, Stellar Mass, Yttrium

Scientific paper

An attempt is made to discuss the basic concept of the effect of the relativistic change in the mass of moving electrons in the elementary theory of pressure ionization. The significance of relativistic corrections is considered. Analytical expressions are obtained for the mean molecular weight, density, and mass-radius relations for cold spherical bodies in static equilibrium and consisting of iron, nickel, and yttrium. It is suggested that the relativistic corrections are negligible if the electron densities in the interior regions are small (e.g., 10 to the 18th to 10 to the 27th per cu cm) but that these corrections cannot be neglected for larger electron densities (i.e., 10 to the 30th to 10 to the 34th per cu cm).

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