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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| Format: | Article |
| Language: | English |
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EDP Sciences
2016-01-01
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| Series: | EPJ Web of Conferences |
| Online Access: | http://dx.doi.org/10.1051/epjconf/201612505004 |
| _version_ | 1818614269572284416 |
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| author | Fitkevich Maxim |
| author_facet | Fitkevich Maxim |
| author_sort | Fitkevich Maxim |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-16T16:15:20Z |
| format | Article |
| id | doaj.art-266e4de7fc1f4d06940579b370876a77 |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-12-16T16:15:20Z |
| publishDate | 2016-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-266e4de7fc1f4d06940579b370876a772022-12-21T22:25:06ZengEDP 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 |
| spellingShingle | Fitkevich Maxim Signatures of chaos and non-integrability in two-dimensional gravity with dynamical boundary EPJ Web of Conferences |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1051/epjconf/201612505004 |
| work_keys_str_mv | AT fitkevichmaxim signaturesofchaosandnonintegrabilityintwodimensionalgravitywithdynamicalboundary |