Open AccessTHE STRUCTURE AND STABILITY OF THE RELATIVISTIC POLYTROPES WITH A COMPACT CORE
Author(s) -
LiZhi Fang,
Xiang Shen
Publication year - 1982
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.31.1223
Subject(s) - polytropic process , halo , physics , core (optical fiber) , stability (learning theory) , radius , distribution (mathematics) , equilibrium solution , classical mechanics , astrophysics , mathematical analysis , mathematics , computer science , optics , computer security , machine learning , galaxy
The objects with core (or with halo) are typical configuration in various astrophy-sical problems. The equilibrium and stability of the relativistic polytropes with a compact core have been discussed in this paper. Comparing with the normal polytropes, the relativistic loaded polytropes have many unique properties, some primary ones are:1. The distribution of density has a steep spike near the centre.2. The stable solution of polytropes with finite radius may exist only when the core satisfy some restricted conditions.3. When the polytropic index n≥3, the stable solution of equilibrium can also exist.