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arXiv 1104.0378hep-thgr-qc
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5维Einstein-Maxwell和Einstein-Maxwell-Ein-Maxwell引力场中稳态黑洞的唯一性和非唯一性

Uniqueness and nonuniqueness of the stationary black holes in 5D Einstein-Maxwell and Einstein-Maxwell-dilaton gravity

Stoytcho S. Yazadjiev

摘要:

本文研究了具有任意耦合参数的5维Einstein-Maxwell-Einstein-Maxwell引力中定常黑解的唯一性问题,其中Einstein-Maxwell引力是一个特例.我们制定和证明的唯一性定理分类的静态黑洞解的间隔结构,电荷和磁荷和磁通量。证明的基础上的非正性的黎曼曲率算子的空间上的潜力,这施加了限制的耦合参数。

英文摘要:

In the present paper we investigate the general problem of uniqueness of the stationary black solutions in 5D Einstein-Maxwell-dilaton gravity with arbitrary dilaton coupling parameter containing the Einstein-Maxwell gravity as a particular case. We formulate and prove uniqueness theorems classifying the stationary black hole solutions in terms of their interval structure, electric and magnetic charges and the magnetic fluxes. The proofs are based on the nonpositivity of the Riemann curvature operator on the space of the potentials which imposes restrictions on the dilaton coupling parameter.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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