We apply the tunnelling method for the emission and absorption of Elko
particles in the event horizon of a black string solution. We show that Elko
particles are emitted at the expected Hawking temperature from black strings,
but with a quite different signature with respect to the Dirac particles. We
employ the Hamilton-Jacobi technique to black hole tunnelling, by applying the
WKB approximation to the coupled system of Dirac-like equations governing the
Elko particle dynamics. As a typical signature, different Elko particles are
shown to produce the same standard Hawking temperature for black strings.
However we prove that they present the same probability irrespective of
outgoing or ingoing the black hole horizon. It provides a typical signature for
mass dimension one fermions, that is different from the mass dimension three
halves fermions inherent to Dirac particles, as different Dirac spinor fields
have distinct inward and outward probability of tunnelling.Comment: 5 pages, notation for the event horizon changed, 4 lines removed, to
appear in Europhys. Let
