论文标题

Minkowski在模拟引力中的四摩梅特的经典和数量方面

Classical and quantal aspects of Minkowski's four-momentum in analog gravity

论文作者

Brevik, Iver

论文摘要

在尝试构建模拟重力理论时,连续培养基的电动力学理论可能是最方便的平台。很自然地,这个话题引起了极大的兴趣。在这种情况下,一个特殊但不是很清楚的特征是在遇到超亮液速度的情况下,辐射能和动量的非常规行为,众所周知,这是类似重力理论中的主要成分。这些特殊的特征与Minkowski的四摩梅氏菌在电动力学中的间距性密切相关。在这里,我们首先考虑一个人工模型,其中在左移动的左移动($ z> 0 $)中创建了KERR诱导的静光区域。我们分析能量密度,po载量和动量密度的行为,并计算人造黑洞地平线上的力。此外,我们研究了数量方面,寻找与地平线突然产生相关的粒子的最终产生,但是发现没有预测粒子会发生。本文在Phys中继续对同一主题进行了先前的调查。修订版A {\ bf 100},032109(2019)。这样的主题与著名的亚伯拉罕·米科夫斯基问题密切相关。

The electrodynamic theory of continuous media is probably the most convenient platform when trying to construct analog gravity theories. Quite naturally, this topic has gained considerable interest. One peculiar but not so very known feature in this context is the unconventional behavior of radiation energy and momentum in cases where superluminal fluid velocities are encountered, what, as known, is a major ingredient in analog gravity theories. These peculiar features are intimately connected with the spacelike character of Minkowski's four-momentum in electrodynamics. Here, we first consider an artificial model in which a Kerr-induced superluminal region is created in the right-hand region ($z>0$) in a left-moving, originally subluminal, fluid. We analyze the behavior of energy density, Poynting vector, and momentum density, and calculate the force on the artificial black hole horizon. Also, we delve into quantal aspects, looking for eventual production of particles associated with the sudden creation of the horizon, finding, however, that no particles are predicted to occur. The present paper continues a previous investigation by the author on the same topic, in Phys. Rev. A {\bf 100}, 032109 (2019). The subject as such is closely related to the famous Abraham-Minkowski problem.

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