Extension of non-minimal derivative coupling theory and Hawking radiation in black-hole spacetime

TL;DR

This paper investigates how a non-minimal derivative coupling affects Hawking radiation in Kerr-Newman black holes, revealing that coupling strength influences absorption and luminosity behaviors related to black hole temperature.

Contribution

It extends the non-minimal derivative coupling theory to rotating black holes and analyzes its impact on Hawking radiation and greybody factors.

Findings

Absorption probability and luminosity increase with coupling strength.

Weak coupling decreases with lower Hawking temperature, strong coupling increases.

Behavior similar to black holes surrounded by quintessence.

Abstract

We study the greybody factor and Hawking radiation with a non-minimal derivative coupling between the scalar field and the curvature in the background of the slowly rotating Kerr-Newman black hole. Our results show that both the absorption probability and luminosity of Hawking radiation of the scalar field increase with the coupling. Moreover, we also find that for the weak coupling $\eta<\eta_c$, the absorption probability and luminosity of Hawking radiation decrease when the black hole's Hawking temperature decreases; while for stronger coupling $\eta>\eta_c$, the absorption probability and luminosity of Hawking radiation increase on the contrary when the black hole's Hawking temperature decreases. This feature is similar to the Hawking radiation in a $d$-dimensional static spherically-symmetric black hole surrounded by quintessence \cite{chensong}.