Formation dynamics of black- and white-hole horizons in an analogue gravity model

Manuele Tettamanti; Alberto Parola

doi:10.3390/universe6080105

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arXiv · 2007.02389

Formation dynamics of black- and white-hole horizons in an analogue gravity model

Manuele Tettamanti·Alberto Parola

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Abstract

We investigate the formation dynamics of sonic horizons in a Bose gas confined in a (quasi) one-dimensional trap. This system is one of the most promising realizations of the analogue gravity paradigm and has already been successfully studied experimentally. Taking advantage of the exact solution of the one-dimensional, hard-core, Bose model (Tonks-Girardeau gas) we show that, by switching on a step potential, either a sonic (black-hole-like) horizon or a black/white hole pair may form, according to the initial velocity of the fluid. Our simulations never suggest the formation of an isolated white-hole horizon, although a stable stationary solution of the dynamical equations with those properties is analytically found. Moreover, we show that the semiclassical dynamics, based on the Gross-Pitaevskii equation, conforms to the exact solution only in the case of fully subsonic flows while a stationary solution exhibiting a supersonic transition is never reached dynamically.

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Manuele Tettamanti, Alberto Parola. 2020-07-05. Formation dynamics of black- and white-hole horizons in an analogue gravity model. https://doi.org/10.3390/universe6080105

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