Black Hole Scattering from Monodromy
High Energy Physics - Theory
2015-06-15 v1 General Relativity and Quantum Cosmology
Abstract
We study scattering coefficients in black hole spacetimes using analytic properties of complexified wave equations. For a concrete example, we analyze the singularities of the Teukolsky equation and relate the corresponding monodromies to scattering data. These techniques, valid in full generality, provide insights into complex-analytic properties of greybody factors and quasinormal modes. This leads to new perturbative and numerical methods which are in good agreement with previous results.
Cite
@article{arxiv.1304.3781,
title = {Black Hole Scattering from Monodromy},
author = {Alejandra Castro and Joshua M. Lapan and Alexander Maloney and Maria J. Rodriguez},
journal= {arXiv preprint arXiv:1304.3781},
year = {2015}
}
Comments
28 pages + appendices, 2 figures. For Mathematica calculation of Stokes multipliers, download "StokesNotebook" from https://sites.google.com/site/justblackholes/techy-zone