Propagation of fields in spherical black holes

Author(s)

Carlos Molina Mendes

• Document type: Doctoral Thesis
• Press: São Paulo.
• Institution: Universidade de São Paulo (USP). Instituto de Física (IF/SBI)
• Defense date: 2003-08-27

Examining board members

Elcio Abdalla; Luis Raul Weber Abramo; José Ademir Sales de Lima; George Emanuel Avraam Matsas; Alberto Vazquez Saa

• Advisor: Elcio Abdalla

Abstract

The study of pertubations in Black holes hás been na active Field of research in the last decades, leading to a better understanding of the physics of compact objects in general. In the case of asymptotically flat spherical geometries with four dimensions, there is a schematic Picture regarding the dynamics of many fields of interest. The introduction of a cosmological Constant in the Einstein equations changes the asymptotic character of the Black hole solutions, and in this case much less is known. In the work developed in this thesis we treat some aspects of the fiels propagation in spherically symmetric geometries which are asymptotically de Sitter and anti-de Sitter, considering also geometries with dimension greater than four. In the near extreme regime the dynamics is simpler. In this case, we obtain analytic expressions to the effective potentials and to the quasinormal modes, completely characterizing the dynamics. In general we are forced to use semi-analytics and numerical methods.These methods are employed in na extensive analysis of the decay modes of the fields cosidered. Our results sketch a general Picture in a wide sample of situations. (AU)