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| Author(s): |
Andres Felipe Cardona Jimenez
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | São Paulo. |
| Institution: | Universidade de São Paulo (USP). Instituto de Física (IF/SBI) |
| Defense date: | 2020-04-17 |
| Examining board members: |
Carlos Molina Mendes;
Mário César Baldiotti;
Fernando Tadeu Caldeira Brandt;
Rodrigo Nemmen da Silva;
Olexandr Zhydenko
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| Advisor: | Carlos Molina Mendes |
| Abstract | |
In this thesis we study aspects of thermodynamics, field dynamics and phase transitions of non-asymptotically flat black holes that are important in the context of gauge/gravity dualities. In Anti-de Sitter geometries the processes of black hole evaporation and phase transitions are characterized. We consider the Vaidya Anti-de Sitter spacetime as a model for evaporation or gravitational collapse, in which a time dependency is introduced by means of a mass function evolving in time. For the study of thermodynamics of black holes evolving in time we follow a formalism adapted to non-stationary spacetimes with thermodynamical quantities associated to geometric properties of the so called trapping horizons. For Anti-de Sitter geometries we compare the thermodynamical results with the corresponding dual gauge theory established in the AdS/CFT correspondence. It is also considered the field dynamics of certain geometries where perturbative results can be associated with a symmetry group not associated to the isometries of the background spacetime. (AU) | |
| FAPESP's process: | 15/09221-5 - Generalized thermodynamics and holographic superconductors |
| Grantee: | Andres Felipe Cardona Jimenez |
| Support Opportunities: | Scholarships in Brazil - Doctorate |