Critical Dimension for Stable Self-Gravitating Stars in AdS

作     者：LI Zhong-Hua CAI Rong-Gen 

作者机构：Department of Physics China West Normal University Nanchong 637002 China Key Laboratory of Frontiers in Theoretical Physics Institute of Theoretical Physics Chinese Academy of Sciences P.O. Box 2735 Beijing 100190 China 

基　　金：Supported partially by National Natural Science Foundation of China under Grant Nos.10821504 and 10525060 Chinese Academy of Sciences under Grant No.KJCX3-SYW-N2 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2009年第52卷第8期

页      码：255-260页

摘      要：We study the self-gravitating stars with a linear equation of state, P = aρ, in AdS space, where a is a constant parameter. There exists a critical dimension, beyond which the stars are always stable with any central energy density; below which there exists a maximal mass configuration for a certain central energy density and when the central energy density continues to increase, the configuration becomes unstable. We find that the critical dimension depends on the parameter a, it runs from d = 11.1429 to 10.1291 as a varies from a = 0 to 1. The lowest integer dimension for a dynamically stable self-gravitating configuration should be d = 12 for any a E [0, 1] rather than d = 11, the latter is the case of self-gravitating radiation configurations in AdS space.

主 题 词：critical dimension self-gravitating star AdS space 

学科分类：050302[050302] 1305[艺术学-设计学类] 13[艺术学] 05[文学] 07[理学] 070401[070401] 0704[理学-天文学类] 0503[文学-新闻传播学类] 0702[理学-物理学类] 

核心收录：

D　O　I：10.1088/0253-6102/52/2/13

馆 藏 号：203533271...