The conditions for thermal equilibrium in a given space-time (i.e. given metric) are derived from the assumption that the entropy per baryon is a maximum. Equilibrium of a star is studied in two steps. Firstly local equilibrium in a given space-time is derived from the condition that the entropy per baryon is a maximum for fixed baryon density. Examples of classical and Fermi ideal gases are considered. Then the results are applied to the study of global equilibrium configurations of nonrotating spherical stars.
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