Perturbations around black holes and their algebraic duals

• Grant number: 13/07414-5
• Support Opportunities: Scholarships in Brazil - Master
• Start date: October 01, 2013
• End date: February 28, 2015
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Carlos Molina Mendes
• Grantee: Andres Felipe Cardona Jimenez
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 11/18729-1 - Gravitation and cosmology: structural questions and applications, AP.TEM

Abstract

In this project, correspondences between pertubative models in curved spacetimes and appropriate algebraic duals will be investigated. The geometries of interest include black hole solutions in brane world scenarios. Following several proposals in the literature, we aim to associate the near horizon scalar dynamics to an appropriate algebraic structure related with the invariance of the scalar field evolution under conformal transformations. Frequencies and quasinormal modes associated with the scalar field will be calculated with the proposed algebraic approach. The viability of the extension of the algebraic techniques to the electromagnetic case will be checked. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

CARDONA, A. F.; MOLINA, C.. Quasinormal modes of generalized Poschl-Teller potentials. Classical and Quantum Gravity, v. 34, n. 24, DEC 21 2017. (13/07414-5, 15/24380-2)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

JIMENEZ, Andres Felipe Cardona. Perturbations around black holes and their algebraic duals. 2015. Master's Dissertation - Universidade de São Paulo (USP). Instituto de Física (IF/SBI) São Paulo.