[Analogues de trous noirs et théorie scalaire-dilaton]
Cette note analyse la dynamique des grandes longueurs d’onde d’un système analogue de trous noirs à deux horizons dans une dimension spatiale. En introduisant un modèle scalaire effectif du type dilaton, nous montrons que des expressions analytiques peuvent être obtenues pour le flux de Hawking dépendant du temps et la densité d’énergie du rayonnement de Hawking. Nous montrons qu’en l’absence de modes superluminaux, il existe une instabilité du vide. Cette instabilité est reconnaissable pour les relativistes comme l’analogue de la déstabilisation de l’horizon de Cauchy d’un trou noir due à la polarisation du vide.
This note analyses the long wavelength dynamics of a two horizon analogue black hole system in one spatial dimension. By introducing an effective scalar-dilaton model we show that closed form expressions can be obtained for the time-dependent Hawking flux and the energy density of the Hawking radiation. We show that, in the absence superluminal modes, there is a vacuum instability. This instability is recognisable to relativists as the analogue to the destabilisation of the Cauchy horizon of a black hole due to vacuum polarization.
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Mots-clés : Trous noirs, condensats Bose–Einstein, gravité analogique
Ian G. Moss 1
CC-BY 4.0
@article{CRPHYS_2024__25_S2_A10_0,
author = {Ian G. Moss},
title = {Analogue black holes and scalar-dilaton theory},
journal = {Comptes Rendus. Physique},
publisher = {Acad\'emie des sciences, Paris},
year = {2024},
doi = {10.5802/crphys.211},
language = {en},
note = {Online first},
}
Ian G. Moss. Analogue black holes and scalar-dilaton theory. Comptes Rendus. Physique, Online first (2024), pp. 1-12. doi : 10.5802/crphys.211.
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