Modeling Non-linearities in the Ringdown of Colliding Black Holes
Manuel Tiglio
(University of Maryland, USA)
Coauthor(s): David Brizuela, Frank Herrmann, Jose Maria Martin Garcia, Enrique Pazos
I will present a new covariant and gauge invariant formalism for arbitrary second order perturbations of (non-rotating) black holes. Next I will discuss a numerical implementation of such formalism and studies of the gravitational radiation generated by self-coupling of linear perturbations. Finally, I will review some ongoing comparisons with full non-linear simulations of colliding black holes. One of the goals of this ongoing effort is to gain further insights in the late stages of colliding black holes and its analytical modeling. A second motivation comes from the possibility of LISA being able to detect a second ringdown mode.