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

Akbar, Fiki T and Gunara, Bobby E and Susanto, Hadi (2017) 'Black holes will break up solitons and white holes may destroy them.' Physics Letters A, 381 (22). 1879 - 1882. ISSN 0375-9601

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Abstract

We consider a quantum analogue of black holes and white holes using Bose–Einstein condensates. The model is described by the nonlinear Schrödinger 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.

Item Type: Article
Uncontrolled Keywords: Black hole analogues, White hole analogue, Dark solitons, Variational methods
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Divisions: Faculty of Science and Health > Mathematical Sciences, Department of
Depositing User: Jim Jamieson
Date Deposited: 19 May 2017 15:33
Last Modified: 05 Jul 2018 10:15
URI: http://repository.essex.ac.uk/id/eprint/19534

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