BLACK HOLE UNIQUENESS THEOREMS
BLACK HOLE UNIQUENESS THEOREMS
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发表时间：
2008
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通讯作者：
P. Mazur
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作者：
P. Mazur
我回顾了80年代初为物理黑洞定态建立的黑洞唯一性定理和无毛定理。本文介绍了Carter、Robinson、Mazur和Bunting在物理黑洞的无分叉和唯一性问题上所做的原创性和决定性的工作。它的最初版本是在我证明科尔-纽曼等人的几年后写成的。黑洞唯一性定理23已见诸报端。黑洞唯一性定理的证明在很大程度上依赖于具有负截面曲率的黎曼非紧对称空间上的非线性Sigma模型的正性性质。希望对导致我们目前对黑洞独特性的理解的原始发展的第一手描述将对所有对这一主题感兴趣的人有用。
I review the black hole uniqueness theorem and the no hair theorems established for physical black hole stationary states by the early 80’. This review presents the original and decisive work of Carter, Robinson, Mazur and Bunting on the problem of no bifurcation and uniqueness of physical black holes. Its original version was written only few years after my proof of the Kerr-Newman et al. black hole uniqueness theorem 23 has appeared in print. The proof of the black hole uniqueness theorem relies heavily on the positivity properties of nonlinear sigma models on the Riemannian noncompact symmetric spaces with negative sectional curvature. It is hoped that the first hand description of the original developments leading to our current understanding of the black hole uniqueness will be found useful to all interested in the subject.