Instability of rotating black hole in a limited form of $f(R)$ gravity

Details Instability of rotating black hole in a limited form of $f(R)$ gravity Instability of rotating black hole in a limited form of $f(R)$ gravity

2011-04-16

arxiv.org/abs/1104.3180v2

Phys.Rev.D84:024048,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, no figure, title changed slightly, version to appear in PRD

Scientific paper

10.1103/PhysRevD.84.024048

We investigate the stability of $f(R)$-rotating (Kerr) black hole obtained from a limited form of $f(R)$ gravity. In order to avoid the difficulty of handling fourth order linearized equations, we transform this form of $f(R)$ gravity into the scalar-tensor theory by introducing two auxiliary scalars. In this case, the linearized curvature scalar equation leads to a massive scalaron equation. It turns out that the $f(R)$-rotating black hole is unstable because of the superradiant instability known as the black-hole bomb idea.

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