Elliptic Function Solutions in Jackiw-Teitelboim Dilaton Gravity
We present a new family of solutions for the Jackiw-Teitelboim model of two-dimensional gravity with a negative cosmological constant. Here, a metric of constant Ricci scalar curvature is constructed, and explicit linearly independent solutions of the corresponding dilaton field equations are determ...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/2154784 |
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| author | Jennie D’Ambroise Floyd L. Williams |
| author_facet | Jennie D’Ambroise Floyd L. Williams |
| author_sort | Jennie D’Ambroise |
| collection | DOAJ |
| description | We present a new family of solutions for the Jackiw-Teitelboim model of two-dimensional gravity with a negative cosmological constant. Here, a metric of constant Ricci scalar curvature is constructed, and explicit linearly independent solutions of the corresponding dilaton field equations are determined. The metric is transformed to a black hole metric, and the dilaton solutions are expressed in terms of Jacobi elliptic functions. Using these solutions, we compute, for example, Killing vectors for the metric. |
| format | Article |
| id | doaj-art-3efeee064a9a46c39d2be175f2e93f62 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
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| series | Advances in Mathematical Physics |
| spelling | doaj-art-3efeee064a9a46c39d2be175f2e93f622025-08-20T03:35:54ZengWileyAdvances in Mathematical Physics1687-91201687-91392017-01-01201710.1155/2017/21547842154784Elliptic Function Solutions in Jackiw-Teitelboim Dilaton GravityJennie D’Ambroise0Floyd L. Williams1Department of Mathematics/CIS, SUNY Old Westbury, P.O. Box 210, Old Westbury, NY 11568, USADepartment of Mathematics and Statistics, University of Massachusetts, Amherst, MA 01003, USAWe present a new family of solutions for the Jackiw-Teitelboim model of two-dimensional gravity with a negative cosmological constant. Here, a metric of constant Ricci scalar curvature is constructed, and explicit linearly independent solutions of the corresponding dilaton field equations are determined. The metric is transformed to a black hole metric, and the dilaton solutions are expressed in terms of Jacobi elliptic functions. Using these solutions, we compute, for example, Killing vectors for the metric.http://dx.doi.org/10.1155/2017/2154784 |
| spellingShingle | Jennie D’Ambroise Floyd L. Williams Elliptic Function Solutions in Jackiw-Teitelboim Dilaton Gravity Advances in Mathematical Physics |
| title | Elliptic Function Solutions in Jackiw-Teitelboim Dilaton Gravity |
| title_full | Elliptic Function Solutions in Jackiw-Teitelboim Dilaton Gravity |
| title_fullStr | Elliptic Function Solutions in Jackiw-Teitelboim Dilaton Gravity |
| title_full_unstemmed | Elliptic Function Solutions in Jackiw-Teitelboim Dilaton Gravity |
| title_short | Elliptic Function Solutions in Jackiw-Teitelboim Dilaton Gravity |
| title_sort | elliptic function solutions in jackiw teitelboim dilaton gravity |
| url | http://dx.doi.org/10.1155/2017/2154784 |
| work_keys_str_mv | AT jenniedambroise ellipticfunctionsolutionsinjackiwteitelboimdilatongravity AT floydlwilliams ellipticfunctionsolutionsinjackiwteitelboimdilatongravity |