Instability of hairy black holes in regularized 4-dimensional Einstein-Gauss-Bonnet gravity

Abstract

In regularized 4-dimensional Einstein-Gauss-Bonnet (EGB) gravity derived from a Kaluza-Klein reduction of higher-dimensional EGB theory, we study the existence and stability of black hole (BH) solutions on a static and spherically symmetric background. We show that asymptotically-flat hairy BH solutions realized for a spatially-flat maximally symmetric internal space are unstable against linear perturbations for any rescaled GB coupling constant. This instability is present for the angular propagation of even-parity perturbations both in the vicinity of an event horizon and at spatial infinity. There is also a strong coupling problem associated with the kinetic term of even-parity perturbations vanishing everywhere.

16 pages, no figures

References in corpus (19)

• Dynamics of dark energy
• Beyond the Cosmological Standard Model
• Black holes with non-minimal derivative coupling
• Is there a novel Einstein-Gauss-Bonnet theory in four dimensions?
• Shadows and photon spheres with spherical accretions in the four-dimensional Gauss-Bonnet black hole
• A consistent theory of $D\to 4$ Einstein-Gauss-Bonnet gravity
• Thermodynamics and P-v criticality of Bardeen-AdS Black Hole in 4-D Einstein-Gauss-Bonnet Gravity
• Charged 4D Einstein-Gauss-Bonnet-AdS Black Holes: Shadow, Energy Emission, Deflection Angle and Heat Engine
• Comment on "Einstein-Gauss-Bonnet Gravity in 4-Dimensional Space-Time''
• A note on the total action of $4D$ Gauss-Bonnet theory
• Inconsistencies in four-dimensional Einstein-Gauss-Bonnet gravity
• Weak cosmic censorship conjecture for the novel $4D$ charged Einstein-Gauss-Bonnet black hole with test scalar field and particle
• Thermodynamics of Conformal Anomaly Corrected Black Holes in AdS Space
• Charged particle and epicyclic motions around $4D$ Einstein-Gauss-Bonnet black hole immersed in an external magnetic field
• Comment on "Einstein-Gauss-Bonnet Gravity in Four-Dimensional Spacetime"
• Quasinormal modes and Strong Cosmic Censorship in the regularised 4D Einstein-Gauss-Bonnet gravity
• Black Holes in the Scalar-Tensor Formulation of 4D Einstein-Gauss-Bonnet Gravity: Uniqueness of Solutions, and a New Candidate for Dark Matter
• Relativistic star perturbations in Horndeski theories with a gauge-ready formulation
• Stability of asymptotically de Sitter and anti-de Sitter black holes in $4D$ regularized Einstein-Gauss-Bonnet theory

Cited by in corpus (9)

• Black hole perturbations in Maxwell-Horndeski theories
• Global Monopoles in the Extended Gauss-Bonnet Gravity
• Thermodynamics of static and stationary black holes in Einstein-Gauss-Bonnet gravity with dark matter
• Black holes in a new gravitational theory with trace anomalies
• Stability of neutron stars in Horndeski theories with Gauss-Bonnet couplings
• Revisiting linear stability of black hole odd-parity perturbations in Einstein-Aether gravity
• Strong coupling and instabilities in singularity-free inflation from an infinite sum of curvature corrections
• Instability of regular planar black holes in four dimensions arising from an infinite sum of curvature corrections
• Compact Objects in 4D Einstein Gauss Bonnet Gravity A Data Based Perspective