@Article{Anderson_etal2015, author="Anderson, P. R. and Fabbri, A. and Balbinot, R.", title="Low frequency gray-body factors and infrared divergences: Rigorous results", journal="Physical Review D", year="2015", publisher="Amer Physical Soc", volume="91", number="6", pages="064061--18pp", 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 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.", optnote="WOS:000352062800003", optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=2172), last updated on Thu, 23 Apr 2015 12:29:24 +0000", issn="1550-7998", doi="10.1103/PhysRevD.91.064061", opturl="http://arxiv.org/abs/1501.01953", opturl="https://doi.org/10.1103/PhysRevD.91.064061", archivePrefix="arXiv", eprint="1501.01953", language="English" }