Emissivities for the various Graviton Modes in the Background of the Higher-Dimensional Black Hole

TL;DR

This paper calculates the Hawking emissivities for different graviton modes in higher-dimensional black holes, revealing that graviton radiation becomes increasingly dominant as the number of extra dimensions grows.

Contribution

It provides a comprehensive numerical analysis of graviton emissivities across all energies in higher-dimensional black holes, highlighting the increasing significance of graviton radiation with more extra dimensions.

Findings

Emissivity ratios increase dramatically with extra dimensions.

Graviton modes become dominant in Hawking radiation as dimensions increase.

Total graviton emissivity can surpass scalar field emissivity in higher dimensions.

Abstract

The Hawking emissivities for the scalar-, vector-, and tensor-mode bulk gravitons are computed in the full range of the graviton's energy by adopting the analytic continuation numerically when the spacetime background is $(4+n)$-dimensional non-rotating black hole. The total emissivity for the gravitons is only 5.16% of that for the spin-0 field when there is no extra dimension. However, this ratio factor increases rapidly when the extra dimensions exist. For example, this factor becomes 147.7%, 595.2% and 3496% when the number of extra dimensions is 1, 2 and 6, respectively. This fact indicates that the Hawking radiation for the graviton modes becomes more and more significant and dominant with increasing the number of extra dimensions.