Partially degenerate semirelativistic isothermal spheres of arbitrary temperature

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Gas Temperature, Isothermal Processes, Stellar Envelopes, Stellar Temperature, White Dwarf Stars, Differential Equations, High Temperature Gases, Numerical Integration, Radiation Pressure, Spheres, Stellar Gravitation, Stellar Structure

Scientific paper

The structure of isothermal configurations is examined in the case of a partially degenerate semirelativistic gas in the presence of radiation pressure but at an arbitrary constant temperature. For nonrotating configurations, an analytic continuum of solutions for intermediate temperature isothermal spheres is determined which contains a number of previously known limiting cases. These cases include the nondegenerate semirelativistic gas sphere, the partially degenerate nonrelativistic (low temperature) and completely relativistic (high temperature) gas spheres, and the completely degenerate white dwarf sphere. Numerical solutions have been obtained, and results are presented for a number of physically interesting quantities for several combinations of central degeneracy and temperature.

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