Quasinormal modes of generalized Poschl-Teller potentials

Autor(es)

Cardona, A. F. ^[1] ; Molina, C. ^[2]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: Classical and Quantum Gravity; v. 34, n. 24 DEC 21 2017.
• Citações Web of Science: 3

Resumo

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)

• Processo FAPESP: 13/07414-5 - Perturbações em torno de buracos negros e seus duais algébricos
• Beneficiário: Andres Felipe Cardona Jimenez
• Modalidade de apoio: Bolsas no Brasil - Mestrado
• Processo FAPESP: 15/24380-2 - Termodinâmica generalizada em correspondências fluido/gravidade
• Beneficiário: Carlos Molina Mendes
• Modalidade de apoio: Auxílio à Pesquisa - Regular