Abstract:
In this project, we analyze the structure of non spherically-symmetric Tensor
Gravitational perturbations in the Transverse Traceless(TT) gauge beyond
the linearized order on Anti-de Sitter(AdS) background in a generic
dimension. The spherical symmetry of the background is used to simplify
the perturbation equations. We start with introducing AdS and it’s causal
structure, and then review some work on scalar field perturbations which
lead to instability in that spacetime in the first chapter. Additionally, we
present the calculation for higher order equations for this system. In the
second chapter, we derive the dynamical equations of gravitational perturbations
in TT gauge upto second order for the given background. After that, a
formalism developed in [1] is introduced and applied to simplify the dynamical
equations at linear and nonlinear order. Finally, we conclude with the
analysis of the structure of second order equations, and its results.
