Instability of a Kerr black hole in f(R) gravity

TL;DR

This paper investigates the stability of Kerr black holes within f(R) gravity, revealing superradiant instability through linearized Ricci scalar analysis, which suggests potential deviations from general relativity in rotating black hole behavior.

Contribution

It demonstrates that Kerr black holes are unstable in f(R) gravity due to superradiant effects, a novel insight into black hole stability in modified gravity theories.

Findings

Kerr black holes exhibit superradiant instability in f(R) gravity.

Linearized Ricci scalar equations reveal instability mechanisms.

Results suggest deviations from general relativity in rotating black hole dynamics.

Abstract

We study the stability of a rotating (Kerr) black hole in the viable $f(R)$ gravity. The linearized-Ricci scalar equation shows the superradiant instability, leading to the instability of the Kerr black hole in $f(R)$ gravity.