Black hole radiation of massive spin-2 particles in (3+1) dimensions

TL;DR

This paper investigates the quantum tunneling radiation of massive spin-2 particles (massive gravitons) from black holes in (3+1) dimensions, extending Hawking radiation analysis to include massive tensor bosons using semiclassical methods.

Contribution

It introduces a novel analysis of black hole radiation involving massive spin-2 particles via tunneling, applying the WKB approximation to the Fierz-Pauli equation.

Findings

Tunneling rate of massive gravitons calculated.

Radiation temperature consistent with Hawking predictions.

Results align with existing Hawking radiation studies.

Abstract

This paper is devoted to the study of radiation of massive spin-2 boson (graviton with a nonzero mass) through the event horizon of a generic static and spherically symmetric black hole in (3+1) dimensions. To this end, we consider the problem in the framework of quantum tunneling phenomenon. We evaluate the tunneling rate of the massive gravitons by applying the semiclassical WKB approximation to the Fierz-Pauli equation. The temperature of the radiation is obtained with the aid of the Boltzmann expression. Our findings are in good agreement with the existing Hawking radiation studies in the current literature.