Slowly rotating partially degenerate semirelativistic isothermal spheroids of arbitrary temperature

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Isothermal Processes, Stellar Rotation, Stellar Temperature, White Dwarf Stars, Gas Temperature, Hydrodynamic Equations, Legendre Functions, Partial Differential Equations, Perturbation Theory, Radiation Pressure, Rotating Fluids, Spheroids, Stellar Atmospheres

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The paper examines the structure of slowly rotating isothermal spheroids in the case of a partially degenerate semirelativistic gas in the presence of radiation pressure but at an arbitrary constant temperature. The Legendre perturbation expansion method is adapted and extended to the isothermal domain. Numerical solutions are obtained and results are presented for both surface and volumetric effects of rotation for several combinations of central degeneracy and temperature. The solutions extend the unity of isothermal structures, previously obtained for nonrotating configurations, throughout the slow-rotational domain.

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