Adiabatic Fluid Spheres in General Relativity. II. Massive Configurations of Ideal Gas and Radiation
Abstract
Generalrelativistic models of massive hot nonrotating stars with adiabatic temperature gradients are dealt with in this paper. The stars are assumed to consist of a mixture of ideal gas and radiation at a finite temperature T, and the models therefore form a twoparameter family of solutions to the equa tions of hydrostatic equilibrium in general relativity. The parameters characterizing a particular member of the sequence are the ratio a of pressure to rest energy density at the center, and the central value (denoted by Yc) of the ratio of radiation pressure to gas pressure. Results are presented as contours, in the space of these two parameters, of central temperature, rest mass, active gravitational mass, radius, binding energy, and period of linearized adiabatic radial oscillations. For each subsequence of models with constant rest mass, the onset of dynamical instability is found to occur at the point where the binding energy, considered as a function of a, has its first relative maximum. A class of generalrelativistic models, with masses <1O~ Mo, stable according to our assumptions about the equation of state, but with central temperatures high enough to cause electronpositron pair formation, is shown to exist. The desirability of examining in detail the effects of pair formation on the structure and stability of these models is indicated
 Publication:

The Astrophysical Journal
 Pub Date:
 January 1969
 DOI:
 10.1086/149856
 Bibcode:
 1969ApJ...155..145T