The generalized Heun equation in QFT in curved space-times

Abstract

In this article we give a brief outline of the applications of the generalized Heun equation (GHE) in the context of Quantum Field Theory in curved space-times. In particular, we relate the separated radial part of a massive Dirac equation in the Kerr-Newman metric and the static perturbations for the non-extremal Reissner-Nordström solution to a GHE.

arXiv comment7 pages, some small improvements in section 2

References in corpus (3)

• Phase transitions near black hole horizons
• On the Eigenvalues of the Chandrasekhar-Page Angular Equation
• The Dirac propagator in the Kerr-Newman metric

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