Hawking Radiation from Elko Particles Tunnelling across Black Strings Horizon

TL;DR

This paper investigates Hawking radiation from black strings via Elko particles, revealing unique tunnelling signatures and confirming emission at the expected temperature, highlighting differences from Dirac particles.

Contribution

It demonstrates that Elko particles tunnel at the Hawking temperature with distinct probability signatures, showcasing their unique behavior compared to Dirac fermions in black string backgrounds.

Findings

Elko particles emit Hawking radiation at the expected temperature.

Elko tunnelling probabilities are the same inward and outward, unlike Dirac particles.

Distinct signatures of mass dimension one fermions are identified.

Abstract

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.