GUP black hole remnants in quadratic gravity

TL;DR

This paper investigates how quadratic gravity and the generalized uncertainty principle influence Hawking radiation, revealing conditions under which black holes become stable remnants due to suppressed radiation.

Contribution

It demonstrates the existence of stable black hole remnants in quadratic gravity influenced by GUP, a novel insight into quantum gravity effects on black hole evaporation.

Findings

Hawking flux vanishes for small black holes under specific conditions

Stable black hole remnants can form due to GUP effects

The tunnelling and WKB methods confirm the suppression of radiation

Abstract

The Hawking radiation of static, spherically symmetric, asymptotically flat solutions in quadratic gravity, is here explored. The emitted fermions are governed by the Dirac equation in the generalized uncertainty principle (GUP) context, that probes the spacetime (quantum) nature. The Hawking thermal spectrum is scrutinized out of the tunnelling method and the WKB procedure. The Hawking flux is shown to vanish for small black holes, for a precise combination of the GUP parameter and the coupling constants that drive the gravitational interaction in quadratic gravity, yielding absolutely stable black hole remnants.