Quasinormal modes and Hawking radiation of black holes in cubic gravity

TL;DR

This paper investigates how cubic curvature corrections in a generalized Einstein gravity theory affect black hole quasinormal modes and Hawking radiation, revealing suppressed oscillation frequencies, damping rates, and radiation intensity, thus prolonging black hole lifetimes.

Contribution

It provides the first analysis of quasinormal modes and Hawking radiation in a general cubic curvature gravity theory with constant curvature backgrounds.

Findings

Suppressed damping rates and oscillation frequencies for scalar, electromagnetic, and Dirac fields.

Hawking radiation intensity is reduced, increasing black hole lifetime.

Effects become significant at larger coupling constants.

Abstract

We consider quasinormal modes and Hawking radiation of four-dimensional asymptotically flat black holes in the most general up to-cubic-order-in-curvature dimension-independent Einsteinian theory of gravity that shares its graviton spectrum with the Einstein theory on constant curvature backgrounds. We show that damping rate and real oscillation frequencies of quasinormal modes for scalar, electromagnetic and Dirac fields are suppressed once the coupling with the cubic term is on. The intensity of Hawking radiation is suppressed as well, leading to, roughly, one order longer lifetime at a sufficiently large coupling constant.