Heun-type solutions for Schwarzschild metric with electromagnetic fields

Abstract

We find confluent Heun solutions to the radial equations of two Halilsoy-Badawi metrics. For the first metric, we studied the radial part of the massless Dirac equation and for the second case, we studied the radial part of the massless Klein-Gordon equation.

8 pages, 2 figures. Matches the published version

References in corpus (4)

• Heun equation, Teukolsky equation, and type-D metrics
• Exact Solutions of Regge-Wheeler Equation
• The Dirac equation in Schwarzschild mass coupled to a Stationary Electromagnetic Field
• Singularity Structure and Stability Analysis of the Dirac Equation on the Boundary of the Nutku Helicoid Solution

Cited by in corpus (9)

• Quasinormal Modes and Greybody Factors of $f(R)$ gravity minimally coupled to a cloud of strings in $2+1$ Dimensions
• Analytical Solutions in a Cosmic String Born-Infeld-dilaton Black Hole Geometry: Quasinormal Modes and Quantization
• Quasinormal Modes of a Schwarzschild Black Hole Immersed in an Electromagnetic Universe
• Quantum Tunneling and Quasinormal Modes in the Spacetime of Alcubierre Warp Drive
• Elementary Integral Series for Heun Functions. With an Application to Black-Hole Perturbation Theory
• Massless fermions on static general prolate metrics and their Heun solutions
• Quantum thermodynamics in the interior of a Schwarzschild B-H
• Solutions of a charged scalar field in five-dimensional helicoid solution with electromagnetic field
• Investigation of hidden symmetry in $Ad{S}_5$ black hole with Heun equation