Vorticity in analogue spacetimes

Understand

Analogue spacetimes can be used to probe and study physically interesting spacetime geometries by constructing, either theoretically or experimentally, some notion of an effective Lorentzian metric $[g_\mathrm{eff}(g,V,\,\Xi)]_{ab}$.

• These effective metrics generically depend on some physical background metric $g_{ab}$, often flat Minkowski space $\eta_{ab}$, some "medium" with 4-velocity $V^a$, and possibly some additional background fields $\Xi$.
• Electromagnetic analogue models date back to the 1920s, acoustic analogue models to the 1980s, and BEC-based analogues to the 1990s.
• The acoustic analogue models have perhaps the most rigorous mathematical formulation, and these acoustic analogue models really work best in the absence of vorticity, if the medium has an irrotational flow.