| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, Inst Fis, CP 66318, BR-05315970 Sao Paulo, SP - Brazil
[2] Univ Sao Paulo, Escola Artes Ciencias & Humanidades, Ave Arlindo Bettio 1000, BR-03828000 Sao Paulo, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Classical and Quantum Gravity; v. 34, n. 24 DEC 21 2017. |
| Web of Science Citations: | 3 |
| Abstract | |
Using algebraic techniques we obtain quasinormal modes and frequencies associated to generalized forms of the scattering Poschl-Teller potential. This approach is based on the association of the corresponding equations of motion with Casimir invariants of differential representations of the Lie algebra sl(2). In the presented development, highest weight representations are constructed and fundamental states are calculated. An infinite tower of quasinormal mode solutions is obtained by the action of a lowering operator. The algebraic results are used in the analysis of the Cauchy initial value problem associated to the generalized Poschl-Teller potentials. For the scattering potentials considered, there are no late-time tails and the dynamics is always stable. (AU) | |
| FAPESP's process: | 13/07414-5 - Perturbations around black holes and their algebraic duals |
| Grantee: | Andres Felipe Cardona Jimenez |
| Support Opportunities: | Scholarships in Brazil - Master |
| FAPESP's process: | 15/24380-2 - Generalized thermodinamics in fluid/gravity correspondences |
| Grantee: | Carlos Molina Mendes |
| Support Opportunities: | Regular Research Grants |