%0 Journal Article
%T Low frequency gray-body factors and infrared divergences: Rigorous results
%A Anderson, P. R.
%A Fabbri, A.
%A Balbinot, R.
%J Physical Review D
%D 2015
%V 91
%N 6
%I Amer Physical Soc
%@ 1550-7998
%G English
%F Anderson_etal2015
%O WOS:000352062800003
%O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=2172), last updated on Thu, 23 Apr 2015 12:29:24 +0000
%X 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 one-dimensional 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.
%R 10.1103/PhysRevD.91.064061
%U http://arxiv.org/abs/1501.01953
%U https://doi.org/10.1103/PhysRevD.91.064061
%P 064061-18pp