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| Author(s): |
Andres Felipe Cardona Jimenez
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | São Paulo. |
| Institution: | Universidade de São Paulo (USP). Instituto de Física (IF/SBI) |
| Defense date: | 2015-06-01 |
| Examining board members: |
Carlos Molina Mendes;
Cecilia Bertoni Martha Hadler Chirenti;
George Emanuel Avraam Matsas
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| Advisor: | Carlos Molina Mendes |
| Abstract | |
In this thesis, we establish some correspondences between dynamics of classical scalar fields in certain background spacetimes and appropriate algebraic duals. The scenarios studied include black hole solutions with non-zero cosmological constant and the spacetimes known as near extremal geometries. Based on several proposals in the literature, we associate certain elements proper to scalar perturbative dynamics to an appropriated representation of an algebra related with the invariance of the scalar equations of motion under conformal transformations. In particular, we associate infinite dimensional highest weight representations of the algebra sl(2,R) to quasinormal modes and frequencies of scalar fields in near extremal geometries and asymptotically Anti de Sitter geometries. (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 |