Analogue gravity from Bose–Einstein condensates

This is a paper written by Carlos Barcelo´, S Liberati and Matt Visser in 2001 which investigates an analog gravity model based on Bose-Einstein condensation (BEC). They consider a quantum superfluid described by Gross-Pitaevskii equation (in hydrodynamic limit; so no quantum fields appear) with some wierd (in my opinion) generalizations and show the effective metric in different approximation regimes.

This was a part of my studies about Analog Gravity due to my project.