Dirac equation is separable on the dyon black hole metric

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.

A radiating dyon solution

“…The radiating dyon solution given by us yields : (a) the Bonnor-Vaidya solution when q m = 0 (b) the Vaidya radiating star solution [2] when q e = q m = 0 (c) the ReissnerNordström solution when q m = 0andq e and M are constants (d) the Schwarzschild solution when q e = q m = 0 and M is constant and (e) the static dyon solution [8] when M, q e , and q m are constants.…”

“…The quasi-cartesian coordinates are those in which the metric g ik approaches the Minkowski metric η ik at great distances. Therefore, one transforms the line element (8) , given in u, r, θ, φ coordinates, to quasi-cartesian coordinates t, x, y, z according to…”

Charged fermion tunneling from electrically and magnetically charged rotating black hole in de Sitter space

“…As a consequence the temperature for the emitted massive fermions is the same as for the massless fermions, and it given by the relation (28). It is known that Hawking radiation in de Sitter space can also appear at the cosmological horizon.…”

“…The two signs in that term correspond to two choices of gauge. Taking into account the boundary conditions (matching of the potential at the boundary) allows one to avoid the divergence of the vector potential [28]. The Dirac equation for electrically charged particle takes the form…”

Spin 0 and spin 1/2 quantum relativistic particles in a constant gravitational field

“…Similar calculations were performed for the Kerr-Newman geometry and around dyon black holes in refs. [11] and [12], respectively.…”