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arXiv 1407.6789gr-qc
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将Hawking映射到Unruh以实现全局嵌入

Mapping Hawking into Unruh for global embeddings

Wen-Yuan Ai, Hua Chen, Jian-Bo Deng

摘要:

研究了Hawking到Unruh映射下整体嵌入到Minkowski时空(GEMS)中的机制。我们找到了一个约束,在黎曼空间中的静态观测器的外部加速度必须满足这样的嵌入。因此,Paston在参考文献\cite{1}中提出的问题,即霍金到Unruh的映射何时起作用,得到了部分解决。我们还计算了标量场在周围空间中到达r $\rightarrow\infty$的势垒。结果表明,势垒是有限的,因此,在r $\rightarrow\infty$的静态观察者确实可以检测到的Unruh效应所造成的辐射从嵌入的观点。然而,在Riemann背景和Minkowski背景下计算的势垒并不一致,因此GEMS方法是不完整的,原则上可以将霍金效应与GEMS的Unruh效应区分开来。

英文摘要:

We study the mechanism of global embeddings into the Minkowski spacetime(GEMS) with the Hawking into Unruh mapping. We find a constraint that the extrinsic acceleration of the static observer in the Riemann space must satisfy for such embeddings. Thus the question raised by Paston in Ref.\cite{1}, that is, when does the Hawking into Unruh mapping for global embeddings work, is partly addressed. We also calculate the potential barrier of a scalar field to reach r $\rightarrow\infty$ in the ambient space. The results show that the potential barrier is finite, hence the static observer at r $\rightarrow\infty$ can indeed detect the radiation caused by the Unruh effect from the embedding view. However the potential barriers calculated in both the Riemann background and the Minkowski background are not coincident, therefore the GEMS approach is not complete and the Hawking effect can be distinguished from the Unruh effect of the GEMS in principle.

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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