The excitation of linear perturbations of higher dimensional black holes.

The study of general relativity in more than four-dimensional spacetimes is important for various reasons, ranging from the AdS/CFT correspondence to the development of grand unification theories. In this work, we study the linear perturbations of a Schwarzschild black hole solution using the covariant and gauge invariant formalism in n dimensions developed by Kodama and Ishibashi. Remarkably, when n > 4, a new tensorial degree of freedom appears in the perturbations, as opposed to the classical scalar and vector perturbations, described respectively by the Zerilli and Regge-Wheeler master equations in four dimensions. In this presentation, we report our current work on obtaining analytical expressions that describe how each of these perturbations is excited by a general source. This work paves the way for understanding the generation of gravitational radiation in higher dimensions.