Low frequency gray-body factors and infrared divergences: rigorous results
Abstract
Formal solutions to the mode equations for both spherically symmetric black holes and Bose-Einstein condensate acoustic black holes are obtained by writing the spatial part of the mode equation as a linear Volterra integral equation of the second kind. The solutions work for a massless minimally coupled scalar field in the s-wave or zero angular momentum sector for a spherically symmetric black hole and in the longitudinal sector of a 1D Bose-Einstein condensate acoustic black hole. These solutions are used to obtain in a rigorous way analytic expressions for the scattering coefficients and gray-body factors in the zero frequency limit. They are also used to study the infrared behaviors of the symmetric two-point function and two functions derived from it: the point-split stress-energy tensor for the massless minimally coupled scalar field in Schwarzschild-de Sitter spacetime and the density-density correlation function for a Bose-Einstein condensate acoustic black hole.
Keywords
Cite
@article{arxiv.1501.01953,
title = {Low frequency gray-body factors and infrared divergences: rigorous results},
author = {Paul R. Anderson and Alessandro Fabbri and Roberto Balbinot},
journal= {arXiv preprint arXiv:1501.01953},
year = {2015}
}
Comments
41 pages, 5 figures