  We calculate the vacuum expectation values of the stress-energy bitensor of a
minimally coupled massless scalar field in anti-de Sitter (AdS) spaces. These
correlators, also known as the noise kernel, act as sources in the
Einstein-Langevin equations of stochastic gravity [1,2] which govern the
induced metric fluctuations beyond the mean-field dynamics described by the
semiclassical Einstein equations of semiclassical gravity. Because the AdS
spaces are maximally symmetric the eigenmodes have analytic expressions which
facilitate the computation of the zeta-function [3,4]. Upon taking the second
functional variation of the generalized zeta function introduced in [5] we
obtain the correlators of the stress tensor. Both the short and the long
geodesic distance limits of the correlators are presented.
