Dirac Particles Tunneling from Black Holes with Topological Defects

TL;DR

This paper investigates Hawking radiation of spin-1/2 Dirac particles tunneling from black holes with topological defects, showing that such defects do not alter the Hawking temperature.

Contribution

It extends the tunneling method to black holes with cosmic strings and monopoles, demonstrating the invariance of Hawking temperature despite topological defects.

Findings

Hawking temperature remains unchanged with topological defects.

Dirac particles' tunneling probabilities are computed using Hamilton-Jacobi and WKB methods.

Topological defects do not affect the Hawking radiation temperature.

Abstract

We study Hawking radiation of Dirac particles with spin-$1/2$ as a tunneling process from Schwarzschild-de Sitter and Reissner-Nordstr\"{o}m-de Sitter black holes in background spacetimes with a spinning cosmic string and a global monopole. Solving Dirac's equation by employing the Hamilton-Jacobi method and WKB approximation we find the corresponding tunneling probabilities and the Hawking temperature. Furthermore, we show that the Hawking temperature of those black holes remains unchanged in presence of topological defects in both cases.