(Anti)evaporation of Dyonic Black Holes in string-inspired dilaton $f(R)$-gravity

TL;DR

This paper investigates the stability of dyonic black hole solutions in string-inspired $f(R)$-gravity with a dilaton and gauge fields, revealing that extremal solutions exhibit anti-evaporation instabilities.

Contribution

It extends known black hole solutions to $f(R)$-gravity with dilaton and gauge fields, analyzing their stability and identifying anti-evaporation instabilities.

Findings

Extreme solutions are unstable.

Solutions exhibit anti-evaporation instabilities.

Extension of previous black hole models in modified gravity.

Abstract

We discuss dyonic black hole solutions in the case of $f(R)$-gravity coupled with a dilaton and two gauge bosons. The study of such a model is highly motivated from string theory. Our Black Hole solutions are extensions of the one firstly studied by Kallosh, Linde, Ort\'in, Peet and Van Proyen (KLOPV) in [arXiv:hep-th/9205027]. We will show that extreme solutions are unstable. In particular, these solutions have Bousso-Hawking-Nojiri-Odintsov (anti)evaporation instabilities.