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

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.

13 pages, no figures, title changed slightly, version to appear in PRD

References in corpus (14)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Disappearing cosmological constant in f(R) gravity
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Instability of the massive Klein-Gordon field on the Kerr spacetime
• Superradiant instabilities in astrophysical systems
• Higher dimensional charged $f(R)$ black holes
• Kerr Black Holes are Not Unique to General Relativity
• Perturbed Kerr Black Holes can probe deviations from General Relativity
• Black holes with massive graviton hair
• Stability of f(R) black holes
• Stability of Schwarzschild black holes in fourth-order gravity revisited
• Qualitative analysis of Kantowski-Sachs metric in a generic class of $f(R)$ models
• Comment on "Static and spherically symmetric black holes in f(R) theories"

Cited by in corpus (23)

• A complete cosmological scenario from $f(R,T^{\phi })$ gravity theory
• Stability of highly-charged Reissner-Nordström black holes to charged scalar perturbations
• Testing Symmergent gravity through the shadow image and weak field photon deflection by a rotating black hole using the M87${}^{\ast }$ and Sgr. A${}^{\ast }$ results
• Stability of motion and thermodynamics in charged black holes in $f(T)$ gravity
• Thermodynamical correspondence of $f(R)$ gravity in Jordan and Einstein frames
• Kerr geometry in f(T) gravity
• Phase transition of charged Black Holes in Brans-Dicke theory through geometrical thermodynamics
• Analytic treatment of the system of a Kerr-Newman black hole and a charged massive scalar field
• Mimetic Euler-Heisenberg theory, charged solutions and multi-horizon black holes
• Superradiance and stability of the novel 4D charged Einstein-Gauss-Bonnet black hole
• Gravitational perturbations of a Kerr black hole in $f(R)$ gravity
• Stationary bound-state scalar configurations supported by rapidly-spinning exotic compact objects
• Stability of Schwarzschild-$f(R)$ gravity thin-shell wormholes
• Revisiting van der Waals like behavior of f(R) AdS black holes via the two point correlation function
• Rotating scalarized black holes in scalar couplings to two topological terms
• A note on the linear stability of black holes in quadratic gravity
• A consistent and unified picture for critical phenomena of $f(R)$ AdS black holes
• Linearization of a warped $f(R)$ theory in the higher-order frame II: the equation of motion approach
• Quadratic and cubic spherically symmetric black holes in the modified teleparallel equivalent of general relativity: Energy and thermodynamics
• Black holes with Lagrange multiplier and potential in mimetic-like gravitational theory: multi-horizon black holes
• Superradiant instability and asymptotically AdS hairy black holes in $F(R)$-charged scalar field theory
• Stability of black holes in f(R) gravity
• Cosmological and astrophysical applications of modified theories of gravity