Turning point instabilities for relativistic stars and black holes
Turning point instabilities for relativistic stars and black holes
复制标题
相对论恒星和黑洞的转折点不稳定性
DOI：
10.1088/0264-9381/31/3/035024
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发表时间：
2013
影响因子：
3.5
通讯作者：
R. Wald
中科院分区：
文献类型：
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作者：
Joshua S. Schiffrin;R. Wald
根据最近有关相对论性恒星和黑洞的动力学和热力学稳定性的结果，我们重新研究了“转折点”之间的关系，即，热力学变量的极值沿着一个参数的解决方案和不稳定性的家庭。我们给出了索金的一般结果的证明，表明存在的热力学不稳定性的一侧的转折点，不依赖于启发式参数涉及无限维流形结构。我们利用转折点的结果证明了在cJ > 0的区域中存在五维时空中的黑环动力学不稳定性，这与Figueras，Murata和Reall的结果一致.作者：H Reall
In the light of recent results relating dynamic and thermodynamic stability of relativistic stars and black holes, we re-examine the relationship between ‘turning points’—i.e., extrema of thermodynamic variables along a 1-parameter family of solutions—and instabilities. We give a proof of Sorkin’s general result—showing the existence of a thermodynamic instability on one side of a turning point—that does not rely on heuristic arguments involving infinite-dimensional manifold structure. We use the turning point results to prove the existence of a dynamic instability of black rings in five spacetime dimensions in the region where cJ > 0, in agreement with a result of Figueras, Murata and Reall. Communicated by H Reall