Scalar particles emission from black holes with topological defects using Hamilton-Jacobi method

TL;DR

This paper investigates scalar particle emission from black holes with topological defects, demonstrating that Hawking temperature remains unaffected by these defects using the Hamilton-Jacobi method.

Contribution

It applies the Hamilton-Jacobi method to analyze tunneling from black holes with topological defects, showing temperature independence from these defects.

Findings

Hawking temperature is unaffected by topological defects.

Scalar tunneling probabilities are computed using Klein-Gordon equation.

Method confirms temperature independence in Schwarzschild-de Sitter and Reissner-Nordström-de Sitter black holes.

Abstract

We study quantum tunneling of charged and uncharged scalar particles from the event horizon of Schwarzschild-de Sitter and Reissner-Nordstr\"{o}m-de Sitter black holes pierced by an infinitely long spinning cosmic string and a global monopole. In order to find the Hawking temperature and the tunneling probability we solve the Klein-Gordon equation by using the Hamilton-Jacobi method and WKB approximation. We show that Hawking temperature is independent of the presence of topological defects in both cases.