Black holes will break up solitons and white holes may destroy them

Abstract

We consider a quantum analogue of black holes and white holes using Bose-Einstein condensates. The model is described by the nonlinear Schrodinger equation with a 'stream flow' potential, that induces a spatial translation to standing waves. We then mainly consider the dynamics of dark solitons in a black hole or white hole flow analogue and their interactions with the event horizon. A reduced equation describing the position of the dark solitons was obtained using variational method. Through numerical computations and comparisons with the analytical approximation we show that solitons can pass through black hole horizons even though they will break up into several solitons after the collision. In the interaction with a white hole horizon, we show that solitons either pass through the horizon or will be destroyed by it.

To appear in Physics Letters A

References in corpus (5)

• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• Measurement of stimulated Hawking emission in an analogue system
• Observation of self-amplifying Hawking radiation in an analog black hole laser
• Observation of negative-frequency waves in a water tank: A classical analogue to the Hawking effect?
• Non-linear effects in time-dependent transonic flows: An analysis of analogue black hole stability