General relativistic, partially degenerate semirelativistic isothermal spheres of arbitrary temperature

Details General relativistic, partially degenerate semirelativistic isothermal spheres of arbitrary temperature General relativistic, partially degenerate semirelativistic isothermal spheres of arbitrary temperature

Jan 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985apj...288..630e&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 288, Jan. 15, 1985, p. 630-643.

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3

Cosmic Gases, Gravitational Collapse, Isothermal Processes, Relativistic Plasmas, Stellar Models, White Dwarf Stars, Dense Plasmas, Gas Temperature, Radiation Pressure, Stellar Temperature

Scientific paper

The structure of general relativistic isothermal configurations is investigated for the case of a partially degenerate semirelativistic (PD-SR) gas including radiation pressure and energy effects but at an arbitrary constant temperature. This work extends previous investigations of Newtonian PD-SR isothermal configurations. For nonrotating configurations, a two-dimensional (central degeneracy and temperature) analytical continuum of configurations is shown to yield a number of limiting cases, some of which differ from their Newtonian counterparts. These include the nondegenerate semirelativistic gas sphere, the partially degenerate completely relativistic (high-temperature) gas sphere, and the completely degenerate semirelativistic (white dwarf-like) gas sphere. Numerical solutions have been obtained, and results are presented for a number of physically interesting quantities. A density-mass-radius function is also obtained for the transition region of intermediate central degeneracy and temperature.

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