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arXiv 1402.3975gr-qchep-th
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全局嵌入的Hawking到Unruh映射何时起作用?

When does the Hawking into Unruh mapping for global embeddings work?

S. A. Paston

摘要:

我们讨论了一个度量到闵可夫斯基时空的霍金到Unruh映射发生的光滑的全球嵌入。有一系列的例子,全球嵌入到闵可夫斯基时空(GEMS)与这种映射的物理有趣的度量。这些例子使用了Fronsdal类型的嵌入,其中时间线是双曲线。在目前的工作中,我们表明,一些新的嵌入(非Fronsdal型)的Schwarzschild和Reissner-Nordstrom度量没有映射。我们还给出了双曲型和非双曲型嵌入的例子,没有映射的de Sitter度量。对于没有霍金辐射的闵可夫斯基度规,我们考虑一个非平凡的嵌入双曲时间轴,因此在环境空间中的Unruh效应发生,它遵循没有映射了。考虑的例子表明,意义的霍金到Unruh映射的全球嵌入仍然不够清楚,需要进一步的调查。

英文摘要:

We discuss for which smooth global embeddings of a metric into a Minkowskian spacetime the Hawking into Unruh mapping takes place. There is a series of examples of global embeddings into the Minkowskian spacetime (GEMS) with such mapping for physically interesting metrics. These examples use Fronsdal-type embeddings for which timelines are hyperbolas. In the present work we show that for some new embeddings (non Fronsdal-type) of the Schwarzschild and Reissner-Nordstrom metrics there is no mapping. We give also the examples of hyperbolic and non hyperbolic type embeddings for the de Sitter metric for which there is no mapping. For the Minkowski metric where there is no Hawking radiation we consider a non trivial embedding with hyperbolic timelines, hence in the ambient space the Unruh effect takes place, and it follows that there is no mapping too. The considered examples show that the meaning of the Hawking into Unruh mapping for global embeddings remains still insufficiently clear and requires further investigations.

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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