Probing phase transitions of regular black holes in anti-de Sitter space with Lyapunov exponent
arXiv:2510.23387 · doi:10.1140/epjc/s10052-025-15111-y
Abstract
We investigate the relationship between thermodynamic phase transitions and the Lyapunov exponent of charged regular anti-de Sitter black holes in quasi-topological gravity. Our results show that the Lyapunov exponent displays oscillatory behavior during phase transitions. Moreover, along the coexistence curve the Lyapunov exponent changes discontinously and continuously at the critical point. Near the critical point, the Lyapunov exponent follows a power-law behavior with a critical exponent of 1/2, suggesting its role as an order parameter and encodes information on black hole phase transitions.
arXiv comment28 pages, 10 figures, comments are welcome!
References in corpus (55)
- Large N Field Theories, String Theory and Gravity
- Black Hole Entropy is Noether Charge
- A bound on chaos
- Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
- P-V criticality of charged AdS black holes
- Formation and evaporation of non-singular black holes
- Charged AdS Black Holes and Catastrophic Holography
- Enthalpy and the Mechanics of AdS Black Holes
- Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
- Black Hole Entropy from Near-Horizon Microstates
- Geodesic stability, Lyapunov exponents and quasinormal modes
- Thermodynamical Aspects of Gravity: New insights
- Holography, Thermodynamics and Fluctuations of Charged AdS Black Holes
- Reentrant Phase Transitions in Rotating AdS Black Holes
- P-V criticality in the extended phase space of Gauss-Bonnet black holes in AdS space
- Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
- Insight into the Microscopic Structure of an AdS Black Hole from Thermodynamical Phase Transition
- Statistical Entropy of Four-Dimensional Extremal Black Holes
- Kerr-AdS analogue of triple point and solid/liquid/gas phase transition
- Black Holes in Quasi-topological Gravity
- Triple points and phase diagrams in the extended phase space of charged Gauss-Bonnet black holes in AdS space
- A new cubic theory of gravity in five dimensions: Black hole, Birkhoff's theorem and C-function
- Repulsive Interactions and Universal Properties of Charged Anti-de Sitter Black Hole Microstructures
- Superfluid Black Holes
- Schwarzschild black hole surrounded by quintessence: Null geodesics
- Universality in Chaos of Particle Motion near Black Hole Horizon
- Thermodynamic Properties of the van der Waals Fluid
- Signature of the Van der Waals like small-large charged AdS black hole phase transition in quasinormal modes
- Isolated critical point from Lovelock gravity
- Presence of horizon makes particle motion chaotic
- Black Holes in (Quartic) Quasitopological Gravity
- Shortcuts to high symmetry solutions in gravitational theories
- (Generalized) quasi-topological gravities at all orders
- Photon orbits and thermodynamic phase transition of -dimensional charged AdS black holes
- Clapeyron equations and fitting formula of the coexistence curve in the extended phase space of charged AdS black holes
- Chaos in Static Axisymmetric Spacetimes I : Vacuum Case
- Quasinormal modes and second order thermodynamic phase transition for Reissner-Nordström black hole
- The Principle of Symmetric Criticality in General Relativity
- Critical phenomena in the extended phase space of Kerr-Newman-AdS black holes
- Vortex/anti-vortex pair creation in black hole thermodynamics
- Probing Phase Structure of Black Holes with Lyapunov Exponents
- Probing the relationship between the null geodesics and thermodynamic phase transition for rotating Kerr-AdS black holes
- Signature of the black hole phase transition in quasinormal modes
- Lyapunov Exponents and Phase Transitions of Born-Infeld AdS Black Holes
- Interplay between the Lyapunov exponents and phase transitions of charged AdS black holes
- Phase structure of the de Sitter Spacetime with KR field based on the Lyapunov exponent
- Rate of the phase transition for a charged anti-de Sitter black hole
- Thermodynamic Stability Versus Chaos Bound Violation in D-dimensional RN Black Holes: Angular Momentum Effects and Phase Transitions
- Thermodynamics of Regular Black Holes in Anti-de Sitter Space
- Chaos Bound and its violation in Black p-brane
- Holographic explorations of regular black holes in pure gravity
- Deciphering black hole phase transitions through photon spheres
- Black hole thermodynamics from an ensemble-averaged theory
- Stationary equilibrium of test particles near charged black branes with the hyperscaling violating factor
- Thermodynamic bounce effect in quantum BTZ black hole