Acoustic black holes in curved spacetime and the emergence of analogue Minkowski spacetime
Acoustic black holes in curved spacetime and the emergence of analogue Minkowski spacetime
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弯曲时空中的声学黑洞和模拟闵可夫斯基时空的出现
DOI：
10.1103/physrevd.99.104047
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发表时间：
2019
影响因子：
5
通讯作者：
Wu Shao-Feng
中科院分区：
文献类型：
--
作者：
Ge Xian-Hui;Nakahara Mikio;Sin Sang-Jin;Tian Yu;Wu Shao-Feng
引力不仅可以在平坦的时空中模拟，也可以在弯曲的时空中模拟。在固定背景时空几何中，考虑相对论Gross-Pitaevskii理论和Yang-Mills理论，研究弯曲时空中的类比引力模型。结果表明，声学度规可以从产生实度规张量和类比度规张量的Hadamard积的弯曲时空中涌现。以量子涡旋为测试粒子，计算了它们在“引力束缚”过程中的释放能量比。($2+1$)维平坦Minkowski度规是由($3+1$)维反De-Sitter空间通过考虑Yang-Mills场的微扰而得到的，这意味着Minkowski时空也可以被模拟，并且这里的推导与全息原理有很深的联系。
Gravity is not only able to be mimicked in flat spacetimes, but also in curved spacetimes. We study analogue gravity models in curved spacetime by considering the relativistic Gross-Pitaevskii theory and Yang-Mills theory in the fixed background spacetime geometry. The results show that acoustic metrics can be emergent from curved spacetimes yielding a Hadamard product of a real metric tensor and an analogue metric tensor. Taking quantum vortices as test particles, we evaluate their released energy ratio during the ``gravitational binding.'' The ($2+1$)-dimensional flat Minkowski metric is derived from the ($3+1$)-dimensional anti--de Sitter space by considering perturbations of the Yang-Mills field, which implies that Minkowski spacetime can also be simulated and the derivations presented here have some deep connections with the holographic principle.