The Dirac Equation Is Separable On The Dyon Black Hole Metric

TL;DR

This paper demonstrates the separability of the Dirac equation in the complex gravitational and electromagnetic background of a dyon black hole using tetrad formalism, advancing understanding of fermionic fields in such spacetimes.

Contribution

It provides the first explicit separation of the Dirac equation in a four-parameter dyon black hole spacetime using tetrad formalism.

Findings

Separation of variables achieved for the Dirac equation in dyon black hole background.

Explicit form of separated equations derived for fermionic fields.

Potential applications in quantum field theory in curved spacetime.

Abstract

Using the tetrad formalism, we carry out the separation of variables for the massive complex Dirac equation in the gravitational and electromagnetic field of a four-parameter (mass, angular momentum, electric and magnetic charges) black hole.