Hawking radiation via tunneling from the spacetime of a spinning cosmic string black holes

TL;DR

This paper investigates Hawking radiation as a tunneling process from black holes affected by cosmic strings and monopoles, showing the Hawking temperature remains unchanged despite topological defects, and extends existing tunneling models.

Contribution

It introduces a generalized Painlevé coordinate approach for stationary axisymmetric spacetimes with topological defects, analyzing Hawking radiation and tunneling rates in these modified black hole geometries.

Findings

Hawking temperature remains unchanged with topological defects.

Tunneling rate relates to change in Bekenstein-Hawking entropy.

Results support a unitary theory of black hole radiation.

Abstract

In this paper, we study Hawking radiation as a massless particles tunneling process across the event horizon from the Schwarzschild and Reissner-Nordstr\"om black holes pierced by an infinitely long spinning cosmic string and a global monopole. Applying the WKB approximation and using a generalized Painlev\'e line element for stationary axisymmetric spacetimes, also by taking into account that the ADM mass of the black hole decreases due to the presence of topological defects, it is shown that the Hawking temperature remains unchanged for these black holes. The tunneling of charged massive particles from Reissner-Nordstr\"om black holes is also studied, in both cases the tunneling rate is related to the change of the Bekenstein-Hawking entropy. The results extend the work of Parikh and Wilczek and are consistent with an underlying unitary theory.