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arXiv 1702.05201gr-qchep-th
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Einstein-Maxwell-Einstein引力中的余齐性1解

Cohomogeneity-1 solutions in Einstein-Maxwell-dilaton gravity

Yen-Kheng Lim

摘要:

在指数势的影响下,将$D$维Einstein-Maxwell-Maxwell引力场方程简化为有效的一维系统.各种情况下,可以找到精确的解决方案进行了探讨。有了这个过程,我们提出了有趣的解决方案,如一个单参数的推广,梅尔文时空和一个三参数的解决方案,插值之间的Reissner-Nordström和Bertotti-Robinson解决方案。这个过程也允许简单的,替代推导已知的解决方案,如利弗希茨时空和平面Anti-de Sitter裸奇点。在后一种情况下,度量是铸造在一个更简单的形式,揭示了存在一个额外的曲率奇点。

英文摘要:

The field equations for Einstein-Maxwell-dilaton gravity in $D$ dimensions are reduced to an effective one-dimensional system under the influence of exponential potentials. Various cases where exact solutions can be found are explored. With this procedure, we present interesting solutions such as a one-parameter generalisation of the dilaton-Melvin spacetime and a three-parameter solution that interpolates between the Reissner-Nordström and Bertotti-Robinson solution. This procedure also allows simple, alternative derivations of known solutions such as the Lifshitz spacetime and the planar Anti-de Sitter naked singularity. In the latter case, the metric is cast in a simpler form which reveals the presence of an additional curvature singularity.

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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