Acoustic black holes in curved spacetime and emergence of analogue Minkowski metric

Abstract

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 \emph{quantum vortices} as \emph{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 be also simulated and the derivations presented here have some deep connections with the holographic principle.

17 pages, 3 tables, 1 figure, references added

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• Observation of self-amplifying Hawking radiation in an analog black hole laser
• Colorful horizons with charge in anti-de Sitter space
• Gibbons-Hawking Effect in the Sonic de Sitter Space-Time of an Expanding Bose-Einstein-Condensed Gas
• "Cosmological" quasiparticle production in harmonically trapped superfluid gases
• Coherent inflationary dynamics for Bose-Einstein condensates crossing a quantum critical point
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Cited by in corpus (21)

• Quasibound states of Schwarzschild acoustic black holes
• Slowly-rotating curved acoustic black holes: Quasinormal modes, Hawking-Unruh radiation and quasibound states
• Analog Schwarzschild black holes of Bose-Einstein condensates in a cavity: Quasinormal modes and quasibound states
• Acoustic black hole in Schwarzschild spacetime: quasi-normal modes, analogous Hawking radiation and shadows
• The generalized uncertainty principle effect in acoustic black holes
• Analogue of the pole-skipping phenomenon in acoustic black holes
• On the geometry outside of acoustic black holes in $2+1$-dimensional spacetime
• Acoustic regular black hole in fluid and its similarity and diversity to a conformally related black hole
• Petrov classification of analogue spacetimes
• Analogue gravity and the island prescription
• Hawking radiation and stability of the canonical acoustic black holes
• Analogue metric in a black bounce background
• Modified metrics of acoustic black holes: A review
• Entangling superconducting qubits through an analogue wormhole
• Shadow and near-horizon characteristics of the acoustic charged black hole in curved spacetime
• Galactic microlensing by acoustic Schwarzschild black holes
• Island of acoustic black hole in Schwarzschild spacetime
• A `Third' Quantization Constructed for Gauge Theory of Gravity
• Thin accretion disks around a Schwarzschild acoustic black hole
• Scrambling time for analogue black holes embedded in AdS space
• Holographic superfluid sound modes with bulk acoustic black hole