Signatures of chaos and non-integrability in two-dimensional gravity with dynamical boundary

Signatures of chaos and non-integrability in two-dimensional gravity with dynamical boundary

We propose a model of two-dimensional dilaton gravity with a boundary. In the bulk our model coincides with the classically integrable CGHS model; the dynamical boundary cuts of the CGHS strong-coupling region. As a result, classical dynamics in our model reminds that in the spherically-symmetric gr...

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Main Author: Fitkevich Maxim
Format: Article
Language:English
Published: EDP Sciences 2016-01-01
Series:EPJ Web of Conferences
Online Access:http://dx.doi.org/10.1051/epjconf/201612505004
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spelling doaj-266e4de7fc1f4d06940579b370876a772021-08-02T16:06:20ZengEDP SciencesEPJ Web of Conferences2100-014X2016-01-011250500410.1051/epjconf/201612505004epjconf_quark2016_05004Signatures of chaos and non-integrability in two-dimensional gravity with dynamical boundaryFitkevich Maxim0Institute for Nuclear Research of the Russian Academy of SciencesWe propose a model of two-dimensional dilaton gravity with a boundary. In the bulk our model coincides with the classically integrable CGHS model; the dynamical boundary cuts of the CGHS strong-coupling region. As a result, classical dynamics in our model reminds that in the spherically-symmetric gravity: wave packets of matter fields either reflect from the boundary or form black holes. We find large integrable sector of multisoliton solutions in this model. At the same time, we argue that the model is globally non-integrable because solutions at the verge of black hole formation display chaotic properties.http://dx.doi.org/10.1051/epjconf/201612505004
collection DOAJ
language English
format Article
sources DOAJ
author Fitkevich Maxim
spellingShingle Fitkevich Maxim
Signatures of chaos and non-integrability in two-dimensional gravity with dynamical boundary
EPJ Web of Conferences
author_facet Fitkevich Maxim
author_sort Fitkevich Maxim
title Signatures of chaos and non-integrability in two-dimensional gravity with dynamical boundary
title_short Signatures of chaos and non-integrability in two-dimensional gravity with dynamical boundary
title_full Signatures of chaos and non-integrability in two-dimensional gravity with dynamical boundary
title_fullStr Signatures of chaos and non-integrability in two-dimensional gravity with dynamical boundary
title_full_unstemmed Signatures of chaos and non-integrability in two-dimensional gravity with dynamical boundary
title_sort signatures of chaos and non-integrability in two-dimensional gravity with dynamical boundary
publisher EDP Sciences
series EPJ Web of Conferences
issn 2100-014X
publishDate 2016-01-01
description We propose a model of two-dimensional dilaton gravity with a boundary. In the bulk our model coincides with the classically integrable CGHS model; the dynamical boundary cuts of the CGHS strong-coupling region. As a result, classical dynamics in our model reminds that in the spherically-symmetric gravity: wave packets of matter fields either reflect from the boundary or form black holes. We find large integrable sector of multisoliton solutions in this model. At the same time, we argue that the model is globally non-integrable because solutions at the verge of black hole formation display chaotic properties.
url http://dx.doi.org/10.1051/epjconf/201612505004
work_keys_str_mv AT fitkevichmaxim signaturesofchaosandnonintegrabilityintwodimensionalgravitywithdynamicalboundary
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