Nonlinear Aspects of Classical Black Hole Dynamics

Abstract: This thesis studies several methods whose application allows one to address problems of nonlinear black hole dynamics within the framework of Einstein’s classical theory of gravity, that is, General Relativity.
In Section A of the thesis, the large D limit is presented and applied to spacetimes with an arbitrarily large number of spatial dimensions. Thanks to this limit, it becomes possible to study analytically nonlinear black hole phenomena that would otherwise require extensive numerical computation.
In Section B of the thesis, a study of nonlinear—more precisely, quadratic contributions to detectable gravitational-wave signals is presented. The focus is placed on binary black hole merger events during their final stage, in which the final object is already well formed and the emitted radiation arises from the limit of small oscillations around the stable final state.
Our results illustrate how one can analytically explore the dynamics of classical black holes beyond the linear regime by means of suitable limits, such as the large D limit or quadratic contributions in perturbative expansions of the theory.

Tribunal:

President: Dr. Diego Blas Temiño

Secretary: Dr. Raimon Luna Perelló

Vocal: Dr. Carlos Fernández Sopuerta

Suplents:

Dr. Pau Figueras Barnera

Dr. Pere Talavera Sanchez

Director: Dr. Roberto Alejandro Emparan Garcia De Salazar 

Tutor: Dr. Joan Soto Riera