Speaker
Paolo Arnaudo
(University of Southampton)
Description
In this talk, we present an analytic method for performing exact computations of one-loop effective actions in black hole backgrounds. The method is based on a generalization of the Gelfand-Yaglom formalism to second-order linear ordinary differential equations, where the resulting expressions are governed by the connection coefficients of equations belonging to the Heun class.
As an application, we focus on linear perturbations around Kerr black holes within the Teukolsky formalism, and we present results for the logarithmic corrections to the entropy for massless particles of spin $s=1,2$.
Author
Paolo Arnaudo
(University of Southampton)
