Instability of spherically-symmetric black holes in Quadratic Gravity

Abstract

We investigate the linear stability of the two known branches of spherically-symmetric black holes in Quadratic Gravity. We extend previous work on the long-wavelength (Gregory-Laflamme) instability of the Schwarzschild branch to a corresponding long-wavelength instability in the non-Schwarzschild branch. In both cases, the instability sets in below a critical horizon radius at which the two black-hole branches intersect. This suggests that classical perturbations enforce a lower bound on the horizon radius of spherically-symmetric black holes in Quadratic Gravity.

arXiv comment10 pages, 4 figures + appendix and references

References in corpus (41)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• The Cosmological Constant and Dark Energy
• Particle Dark Matter: Evidence, Candidates and Constraints
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• Modified Gravity and Cosmology
• Black Hole Entropy is Noether Charge
• GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• General relativity as an effective field theory: The leading quantum corrections
• Black Strings and p-Branes are Unstable
• Black holes, gravitational waves and fundamental physics: a roadmap
• Massive spin-2 fields on black hole spacetimes: Instability of the Schwarzschild and Kerr solutions and bounds on the graviton mass
• Black Holes in Higher-Derivative Gravity
• New parametrization for spherically symmetric black holes in metric theories of gravity
• Spherically Symmetric Solutions in Higher-Derivative Gravity
• Aspects of Quadratic Gravity
• The Spectra of Gravitational Atoms
• An explanation of the Newman-Janis Algorithm
• Instability of black holes in massive gravity
• Consistent Spin-Two Coupling and Quadratic Gravitation
• Black hole superradiant instability from ultralight spin-2 fields
• Non-Schwarzschild black-hole metric in four dimensional higher derivative gravity: analytical approximation
• Static Solutions for 4th order gravity
• The Speed of Gravity
• Thermodynamical First Laws of Black Holes in Quadratically-Extended Gravities
• On the fate of singularities and horizons in higher derivative gravity
• Lichnerowicz Modes and Black Hole Families in Ricci Quadratic Gravity
• Black holes and other exact spherical solutions in Quadratic Gravity
• Stability of Schwarzschild black holes in fourth-order gravity revisited
• Exact black holes in quadratic gravity with any cosmological constant
• Exact solutions to quadratic gravity
• Unstable Schwarzschild-Tangherlini black holes in fourth-order gravity
• Black hole perturbation in parity violating gravitational theories
• Parameterizations of black-hole spacetimes beyond circularity
• Square Peg in a Circular Hole: Choosing the Right Ansatz for Isolated Black Holes in Generic Gravitational Theories
• Ineffective Higher Derivative Black Hole Hair
• A Stueckelberg Approach to Quadratic Curvature Gravity and its Decoupling Limits
• Nonlinear Dynamics of Quadratic Gravity in Spherical Symmetry
• Schwarzschild quasi-normal modes of non-minimally coupled vector fields
• The Gregory-Laflamme Instability of the Schwarzschild Black String Exterior

Cited by in corpus (18)

• Instability and backreaction of massive spin-2 fields around black holes
• Nonlinear Evolution of Quadratic Gravity in 3+1 Dimensions
• A Lensing-Band Approach to Spacetime Constraints
• Time Evolution of Black Hole Perturbations in Quadratic Gravity
• Beyond Schwarzschild-de Sitter spacetimes: II. An exact non-Schwarzschild metric in pure $R^2$ gravity and new anomalous properties of $R^2$ spacetimes
• Optical appearance of numerical black hole solutions in higher derivative gravity
• Beyond Schwarzschild-de Sitter spacetimes: III. A perturbative vacuum with non-constant scalar curvature in $R+R^2$ gravity
• Pseudospectrum and time-domain analysis of the EFT corrected black holes
• Purely metric Horndeski theories and spontaneous curvaturization of black holes
• Stability of Schwarzshild black holes in quadratic gravity with Weyl curvature domination
• Dust collapse and horizon formation in Quadratic Gravity
• Charged black holes in quadratic gravity
• Black holes and other exact solutions in six-derivative gravity
• Analytical approximations to charged black hole solutions in Einstein-Maxwell-Weyl gravity
• Birkhoff's Theorem and Uniqueness: A Peek Beyond General Relativity
• Neglected solutions in quadratic gravity
• Charting GLOBs in Asymptotically Safe Gravity
• Linear perturbations of Kerr black hole in quadratic gravity