|
Résumé |
I will begin by discussing the analytic structure of black hole correlation functions in momentum space as derived from holographic thermal setups in Anti-de Sitter space. A particular focus will be the discussion of various constraints on such spectra, in particular the thermal product formula and our recently derived spectral duality relation. I will then describe our results on understanding the analytic structure in position space, where the singularities of retarded correlators can be understood in the language of the Hadamard theory of differential equations and the behavior of null geodesics. Of particular interest will be the relation between a type of null geodesic, called the bouncing geodesic, and the existence of black hole curvature singularities. Finally, I will show how all of these results can be extended to the physics of black hole perturbations in flat and de Sitter spaces by enclosing a black hole in a reflecting cavity. |
