The hypergeneralized Heun equation in QFT in curved space-times

Abstract

In this article we show for the first time the role played by the hypergeneralized Heun equation (HHE) in the context of Quantum Field Theory in curved space-times. More precisely, we find suitable transformations relating the separated radial and angular parts of a massive Dirac equation in the Kerr-Newman-deSitter metric to a HHE.

8 pages

References in corpus (3)

• Heun equation, Teukolsky equation, and type-D metrics
• On the Eigenvalues of the Chandrasekhar-Page Angular Equation
• The generalized Heun equation in QFT in curved space-times

Cited by in corpus (4)

• Heun Functions and Some of Their Applications in Physics
• Asymptotic behavior of Heun function and its integral formalism
• The Dirac equation in the Kerr-de Sitter metric
• On the Form of Solutions of Fuchsian differential Equations with n regular singular Points