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.

7 pages, some small improvements in section 2

References in corpus (1)

• The Dirac propagator in the Kerr-Newman metric

Cited by in corpus (4)

• Bounding the greybody factors for Schwarzschild black holes
• New application of the Killing vector field formalism: Modified periodic potential and two-level profiles of the axionic dark matter distribution
• Singularity Structure and Stability Analysis of the Dirac Equation on the Boundary of the Nutku Helicoid Solution
• The problem of embedded eigenvalues for the Dirac equation in the Schwarzschild black hole metric