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THE STRUCTURE AND STABILITY OF THE RELATIVISTIC POLYTROPES WITH A COMPACT CORE

FANG LI-ZHI XIANG SHOU-PING

THE STRUCTURE AND STABILITY OF THE RELATIVISTIC POLYTROPES WITH A COMPACT CORE

FANG LI-ZHI, XIANG SHOU-PING
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  • Received Date:  06 November 1981
  • Published Online:  27 July 2005

THE STRUCTURE AND STABILITY OF THE RELATIVISTIC POLYTROPES WITH A COMPACT CORE

  • 1. 中国科学技术大学天体物理研究室

Abstract: 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.

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