Gravitinos Tunneling From Traversable Lorentzian Wormholes

TL;DR

This paper investigates gravitino tunneling from traversable Lorentzian wormholes, revealing a negative Hawking temperature through quantum tunneling analysis using the Hamilton-Jacobi method.

Contribution

It introduces a novel analysis of gravitino radiation from wormholes and derives the negative Hawking temperature using the Rarita-Schwinger equations and tunneling methods.

Findings

Hawking radiation of gravitinos occurs around wormholes.

The Hawking temperature associated with this process is negative.

The study extends quantum tunneling analysis to spin-3/2 particles in wormhole spacetimes.

Abstract

Recent research shows that Hawking radiation (HR) is also possible around the trapping horizon of a wormhole. In this article, we show that the HR of gravitino (spin-$3/2$) particles from the traversable Lorentzian wormholes (TLWH) reveals a negative Hawking temperature (HT). We first introduce the TLWH in the past outer trapping horizon geometry (POTHG). Next, we derive the Rarita-Schwinger equations (RSEs) for that geometry. Then, using both the Hamilton-Jacobi (HJ) ans\"{a}tz and the WKB approximation in the quantum tunneling method, we obtain the probabilities of the emission/absorption modes. Finally, we derive the tunneling rate of the emitted gravitino particles, and succeed to read the HT of the TLWH.