Gravitational decoupling and regular hairy black holes: Geodesic stability, quasinormal modes, and thermodynamic properties
arXiv:2512.14920 · doi:10.1016/j.aop.2026.170540
Abstract
The stability of geodesic orbits around a regular hairy black hole, in the gravitational decoupling setup, is investigated by employing Lyapunov exponents, which quantify the divergence rate of nearby trajectories in dynamical systems. Both timelike and null geodesics are addressed, probing the effect of the hair parameter on orbital stability. Deviations from the Schwarzschild solution have a significant influence on orbit stability, potentially providing observational signatures. We compute the quasinormal modes of regular hairy black holes and discuss their thermodynamic properties, contrasting the Rényi and Bekenstein-Hawking entropy prescriptions. The results can provide insight into gravitational dynamics in the strong-field regime and potentially contribute to ongoing developments in modified gravity theories.
40 pages, 15 figures
References in corpus (61)
- Quasinormal modes of black holes and black branes
- First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
- Tests of general relativity with GW150914
- Quasinormal modes of black holes: from astrophysics to string theory
- Formation and evaporation of non-singular black holes
- Geodesic stability, Lyapunov exponents and quasinormal modes
- Tests of General Relativity with the Binary Black Hole Signals from the LIGO-Virgo Catalog GWTC-1
- The Thermodynamics of Black Holes
- Black hole hair in generalized scalar-tensor gravity
- Evasion of No-Hair Theorems and Novel Black-Hole Solutions in Gauss-Bonnet Theories
- Decoupling gravitational sources in general relativity: from perfect to anisotropic fluids
- Dressing a black hole with a time-dependent Galileon
- Higher order WKB formula for quasinormal modes and grey-body factors: recipes for quick and accurate calculations
- Quasi-Normal Modes of Schwarzschild Anti-De Sitter Black Holes: Electromagnetic and Gravitational Perturbations
- Observing the shadow of Einstein-Maxwell-Dilaton-Axion black hole
- Decoupling gravitational sources in general relativity: the extended case
- Black Hole Thermodynamics
- Rényi entropy and the thermodynamic stability of black holes
- Hairy black holes by gravitational decoupling
- A novel family of rotating black hole mimickers
- Charged 4D Einstein-Gauss-Bonnet-AdS Black Holes: Shadow, Energy Emission, Deflection Angle and Heat Engine
- Minimal Geometric Deformation in a cloud of strings
- A causal Schwarzschild-de Sitter interior solution by gravitational decoupling
- Shadows and photon rings of regular black holes and geonic horizonless compact objects
- Einstein-Klein-Gordon by gravitational decoupling
- Dark SU(N) glueball stars on fluid branes
- Thermodynamics, stability and Hawking-Page transition of Kerr black holes from Rényi statistics
- Lyapunov timescales and black hole binaries
- Strong Deflection Limit Lensing Effects in the Minimal Geometric Deformation and Casadio-Fabbri-Mazzacurati Solutions
- A way of decoupling gravitational sources in pure Lovelock gravity
- GUP Hawking fermions from MGD black holes
- Hawking Radiation from Elko Particles Tunnelling across Black Strings Horizon
- Thermodynamics and Van der Waals Phase Transition of Charged Black Holes in Flat Space via Rényi Statistics
- Gravitational cracking and complexity in the framework of gravitational decoupling
- Analytic expressions for quasinormal modes and grey-body factors in the eikonal limit and beyond
- Regular hairy black holes through Minkowski deformation
- The Minimal Geometric Deformation Approach: a brief introduction
- Rotating hairy black holes and thermodynamics from gravitational decoupling
- Quasinormal modes and gray-body factors of regular black holes in asymptotically safe gravity
- Analytical quasinormal modes of spherically symmetric black holes in the eikonal regime
- Holographic entanglement entropy under the minimal geometric deformation and extensions
- Regular evaporating black holes with stable cores
- Class I polytropes for anisotropic matter
- Echoes of the gravitational decoupling: scalar perturbations and quasinormal modes of hairy black holes
- Probing the minimal geometric deformation with trace and Weyl anomalies
- MGD-decoupled black holes, anisotropic fluids and holographic entanglement entropy
- Geodesic motion around hairy black holes
- Effective thermodynamical system of Schwarzschild-de Sitter black holes from Rényi statistics
- Regular charged black holes, energy conditions and quasinormal modes
- Geodesic stability and quasinormal modes of non-commutative Schwarzschild black hole employing Lyapunov exponent
- Near horizon thermodynamics of hairy black holes from gravitational decoupling
- Interplay between the Lyapunov exponents and phase transitions of charged AdS black holes
- Quasi Normal Modes of hairy black holes at higher--order WKB approach
- Calculating quasinormal modes of Schwarzschild anti-de Sitter black holes using the continued fraction method
- Rotating black hole mimicker surrounded by the string cloud
- Phase structure of the de Sitter Spacetime with KR field based on the Lyapunov exponent
- Differential configurational entropy and the gravitational collapse of a kink
- The Stability of Anisotropic Compact Stars Influenced by Dark Matter under Teleparallel Gravity: An Extended Gravitational Deformation Approach
- Configurational entropy of black hole quantum cores
- Axion stars in MGD background
- Geodesic stability and Quasi normal modes via Lyapunov exponent for Hayward Black Hole