Stability of black holes in f(R) gravity

Abstract

We investigate the stability of black holes in the viable model of $f(R)=R+R^2$ gravity which was known to be the best fit for inflation. These include Schwarzschild and Kerr black holes. Instead of studying the fourth-order linearized equation around the black hole background, we use the corresponding tensor-scalar theory of the Starobinsky model to perform their stability. The Schwarzschild black hole is stable, while the Kerr black hole is unstable because of superradiant instability.

arXiv comment1+13 pages, 2 figures

References in corpus (16)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Instability of the massive Klein-Gordon field on the Kerr spacetime
• One-loop f(R) gravity in de Sitter universe
• Black-Hole Bombs and Photon-Mass Bounds
• Superradiant instabilities in astrophysical systems
• Black Holes in f(R) theories
• Superradiant instabilities of rotating black holes in the time domain
• Higher dimensional charged $f(R)$ black holes
• Kerr Black Holes are Not Unique to General Relativity
• On the instability regime of the rotating Kerr spacetime to massive scalar perturbations
• Analytic treatment of the black-hole bomb
• Consistency relation for $R^p$ inflation
• Instability of rotating black hole in a limited form of $f(R)$ gravity
• Instability of a Kerr black hole in f(R) gravity
• Starobinsky inflation from new-minimal supergravity

Cited by in corpus (2)

• On wormhole formation in $f(\text{R},\text{T})$ gravity: varying Chaplygin gas and barotropic fluid
• Cyclic and heteroclinic flows near general static spherically symmetric black holes