Hawking Radiation and Greybody Factors of Test Scalar and Electromagnetic Fields on Asymptotically Flat Pure Lovelock Black Holes

TL;DR

This paper analyzes Hawking radiation and greybody factors of scalar and electromagnetic fields on pure Lovelock black holes, revealing reduced radiation and higher-curvature signatures compared to standard black holes.

Contribution

It provides the first detailed computation of greybody factors and Hawking spectra for pure Lovelock black holes, highlighting their distinct radiation characteristics.

Findings

Hawking radiation is significantly suppressed in pure Lovelock black holes compared to Schwarzschild--Tangherlini black holes.

As Lovelock order N increases, scalar electromagnetic radiation dominates Hawking emission.

In 6D, scalar and electromagnetic powers are reduced by approximately 10^{-3} and 10^{-5}, respectively.

Abstract

Pure Lovelock black holes are geometrically more transparent than their Einstein counterparts, but they radiate far less. We compute scalar and higher-dimensional electromagnetic greybody factors and Hawking spectra on the critical branch $d=2N+2$, compare them with Schwarzschild--Tangherlini black holes at the same horizon radius $r_h$, and show that the smaller Hawking temperature overwhelms the enhanced transmission. In the benchmark $d=6$ case, the integrated scalar and electromagnetic powers are reduced by about $10^{-3}$ and $10^{-5}$, respectively. We also find a clean higher-curvature signature: as the Lovelock order $N$ grows, Hawking radiation becomes increasingly dominated by the scalar-type electromagnetic sector.