CENTRA Seminar - Revisiting black-hole perturbation theory: the hyperboloidal slice approach - 14 junho 2018
By NelmaS on Seg, 04/06/2018 - 21:59
Revisiting black-hole perturbation theory: the hyperboloidal slice approach
Rodrigo Panosso Macedo
Queen Mary London
Abstract / Resumo
We present a spectral representation of solutions to relativistic wave equations formulated on a Schwarzschild background. We first consider an asymptotically flat spacetime and, after performing a Laplace transformation on the wave equation in question, we present an algorithm for obtaining all ingredients of the desired spectral decomposition, including quasi-normal modes, quasi-normal mode amplitudes as well as the jump of the Laplace-transform along the branch cut. The work explains extensively this procedure and includes detailed discussions of relevant aspects, such as the contribution of infinity frequencies modes to the early time response of the black hole and its relation to the QNM-amplitudes grows rate.
Eventually, we mention on the extensions of the algorithm to the Reisnner-Nordstrom background and some applications on asymptotically AdS spacetimes.
14 de junho de 2018 | 14:30
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