相对论玻色-爱因斯坦凝聚中的暗黑洞:模仿Killing和宇宙视界
Analogue black holes in relativistic BECs: Mimicking Killing and universal horizons
摘要:
相对论性玻色-爱因斯坦凝聚体(rBECs)是近年来发展起来的一个模拟引力的系统。事实上,虽然这样的相对论系统还不能在实验上实现,但它们提供了一个有趣的框架来模拟尚未可用的度量,从而为进一步的理论和数值探索铺平了道路。在这种情况下,我们在这里讨论黑洞的rBEC和探索它们的功能如何与系统的整体性能。然后,我们提出了外部场的rBEC作为一种方式来模仿非度量功能的耦合。特别是,我们使用Proca场来模拟以太场,如在Einstein-Aether或Horava-Lifshitz引力中发现的那样。这使我们能够模拟一个宇宙视界,在这些修正的引力理论中,与超光速模式相关的因果屏障。
英文摘要:
Relativistic Bose-Einstein condensates (rBECs) have recently become a well-established system for analogue gravity. Indeed, while such relativistic systems cannot be yet realized experimentally, they provide an interesting framework for mimicking metrics for which no analogue is yet available, so paving the way for further theoretical and numerical explorations. In this vein, we here discuss black holes in rBECs and explore how their features relate to the bulk properties of the system. We then propose the coupling of external fields to the rBEC as a way to mimic non-metric features. In particular, we use a Proca field to simulate an aether field, as found in Einstein-Aether or Horava-Lifshitz gravity. This allows us to mimic a universal horizon, the causal barrier relevant for superluminal modes in these modified gravitational theories.
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