二维Riemann空间中Lorentz环面Anti-de Sitter时空中的慢发电机
Slow dynamos in Lorentz tori Anti-de Sitter spacetime embedded in Riemann 2D-space
摘要：
早些时候，Chicone，Latushkin和Montgomery-Smith [Comm Math Phys（1997）]已经证明，只要其黎曼曲率为负，就可以支持紧致二维流形中的快速发电机。最近Klebanov和Maldacena [今日物理（2008）]表明，在2+1-D时空中的二维负黎曼双曲嵌入的类似平坦时空嵌入可以通过坐标变换实现。本文利用这种嵌入方法得到了慢发电机在二维紧致负常曲率黎曼流形中的平坦时空嵌入。证明了在反德西特空间（AdS）的洛伦兹环中出现了一个慢发电机。这与Bassett等人[Phys Rev D（2001）]宇宙发电机的观点一致，其中与预热阶段相比，宇宙膨胀抑制共振会减缓发电机的作用。平坦嵌入的另一个例子是在实验室中嵌入Moebius带[Shukurov，Stepanov，Sokoloff，PRE（2008）]，它与AdS慢发电机保持一定的重新采样。
英文摘要：
Earlier Chicone, Latushkin and Montgomery-Smith [Comm Math Phys (1997)] have shown that a fast dynamo in compact two-dimensional manifold can be supported as long as its Riemannian curvature be negative. Recently Klebanov and Maldacena [Phys Today (2008)] showed that a similar flat spacetime embedding of a 2D negative Riemannian hyperbolic embedding in 2+1-D space-time, is achieved by a coordinate transformation. This embedding is used here to obtain a flat spacetime embedding of a slow dynamo in Riemannian 2D compact manifold of negative constant curvature. In is shown that a slow dynamo appears in anti-de Sitter space (AdS) Lorentz tori. This is in agreement with Bassett et al [Phys Rev D (2001)] cosmic dynamo where suppression of resonance by universe expansion slow dynamo action in comparison to preheating phases. Other example of flat embeddings, which keeps some resamblance with AdS slow dynamo, is given by the embedding of Moebius strip [Shukurov, Stepanov, Sokoloff, PRE (2008)] in the laboratory.
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