Analog model for an expanding universe

Abstract

Over the last few years numerous papers concerning analog models for gravity have been published. It was shown that the dynamical equation of several systems (e.g. Bose-Einstein condensates with a sink or a vortex) have the same wave equation as light in a curved-space (e.g. black holes). In the last few months several papers were released which deal with simulations of the universe. In this article the de-Sitter universe will be compared with a freely expanding three-dimensional spherical Bose-Einstein condensate. Initially the condensate is in a harmonic trap, which suddenly will be switched off. At the same time a small perturbation will be injected in the center of the condensate cloud. The motion of the perturbation in the expanding condensate will be discussed, and after some transformations the similarity to an expanding universe will be shown.

Presented at the 4th Australasian conference on General Relativity and Cosmology, Monash U, Melbourne, 7-9 January 2004

References in corpus (2)

• Gibbons-Hawking Effect in the Sonic de Sitter Space-Time of an Expanding Bose-Einstein-Condensed Gas
• Simulation of gravitational objects in Bose-Einstein condensates

Cited by in corpus (18)

• Analogue Gravity
• Observation of self-amplifying Hawking radiation in an analog black hole laser
• Causal structure of acoustic spacetimes
• Vortex geometry for the equatorial slice of the Kerr black hole
• Analogue quantum gravity phenomenology from a two-component Bose-Einstein condensate
• Massive Klein--Gordon equation from a BEC-based analogue spacetime
• Analogue spacetime based on 2-component Bose-Einstein condensates
• Analog Systems for Gravity Duals
• Variational equations on mixed Riemannian-Lorentzian metrics
• A relativistic acoustic metric for planar black holes
• The Timescales of Quantum Breaking
• Spacetime analogue of Bose-Einstein condensates: Bogoliubov-de Gennes formulation
• Massive phonon modes from a BEC-based analog model
• Analogue Gravity Models From Conformal Rescaling
• Emergent spacetimes
• Dark energy effects in the Schrödinger-Newton approach
• Quantum Brownian motion for a particle in analog expanding cosmologies in the presence of disclination
• Analogue gravitational phenomena in Bose-Einstein condensates