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arXiv 0905.4716hep-th
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Harrison变换与Kaluza-Klein理论中的带电黑天体

Harrison transformation and charged black objects in Kaluza-Klein theory

Burkhard Kleihaus, Jutta Kunz, Eugen Radu, Cristian Stelea

备注：
42 pages, 12 figures
发表信息：
JHEP 0909:025,2009
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摘要：

在引力理论中，我们通过使用Harrison型变换，得到了耦合到介子和反对称形式的$D-$维的带电黑膜解。我们使用的种子真空解对应于$(D-p)$维中的提升的卡鲁扎-克莱因黑弦和黑洞。一个推广的Marolf-Mann准局部形式主义的卡鲁扎-克莱因理论也提出了，全球收费的黑色物体被计算以这种方式。我们认为带电溶液的热力学可以从真空组态的热力学导出。我们的结果表明，在巨正则系综中，所有由Harrison变换构造的荷电Kaluza-Klein解都是不稳定的.将一般形式应用于$D=5, 6$ Einstein-Maxwell-Einstein引力场中的非均匀黑弦和笼状黑洞解，讨论了它们的几何性质和热力学性质.我们认为，拓扑结构的变化过渡的情况下，这是以前提出的真空的情况下，在这种情况下也成立。在慢转极限下，在六维空间中构造了带电黑弦的自旋概化。我们发现，这些解决方案的旋磁比具有非平凡的非均匀性参数的依赖。

英文摘要：

We generate charged black brane solutions in $D-$dimensions in a theory of gravity coupled to a dilaton and an antisymmetric form, by using a Harrison-type transformation. The seed vacuum solutions that we use correspond to uplifted Kaluza-Klein black strings and black holes in $(D-p)$-dimensions. A generalization of the Marolf-Mann quasilocal formalism to the Kaluza-Klein theory is also presented, the global charges of the black objects being computed in this way. We argue that the thermodynamics of the charged solutions can be derived from that of the vacuum configurations. Our results show that all charged Kaluza-Klein solutions constructed by means of Harrison transformations are thermodynamically unstable in a grand canonical ensemble. The general formalism is applied to the case of nonuniform black strings and caged black hole solutions in $D=5, 6$ Einstein-Maxwell-dilaton gravity, whose geometrical properties and thermodynamics are discussed. We argue that the topology changing transition scenario, which was previously proposed in the vacuum case, also holds in this case. Spinning generalizations of the charged black strings are constructed in six dimensions in the slowly rotating limit. We find that the gyromagnetic ratio of these solutions possesses a nontrivial dependence on the nonuniformity parameter.

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