Massless spin-1/2 wave propagation in a wormhole background

Abstract

We address the problem of describing the propagation of a massless spin-1/2 wave on the Ellis wormhole. The dynamics of a spin-1/2 field is governed by the Dirac equation, which can be conveniently expressed in Newman-Penrose form. It has been shown that the radial parts of the spinor components satisfy Schrodinger-like differential equations associated with different barrier potentials, and the angular part corresponds to the spin-weighted spherical harmonics. The transmission coefficient for incoming waves with different frequencies were computed numerically.