Journal Article

Probing the thermodynamics of charged Gauss Bonnet AdS black holes with the Lyapunov exponent

Wang, Peng, Tao, Jun, Lyu, Xin

2024

Overview

In this paper, we investigate the thermodynamic properties of the charged AdS Gauss–Bonnet black holes and their associations with the Lyapunov exponent. The chaotic features of the black holes and the isobaric heat capacity characterized by the Lyapunov exponent are studied to reveal the thermodynamic stability of the black hole phases. By considering both the timelike and null geodesics, we find that the relationship between the Lyapunov exponent and the Hawking temperature can accurately represent the features of the Small/Large phase transition and even the triple point. We also reveal the properties of the difference in the Lyapunov exponent as an order parameter. It is demonstrated that there is a negative correlation between the Lyapunov exponent and the size of the black hole shadow, which can be used to bridge the thermodynamic properties and the shadow of black holes.

• Publisher: Springer Berlin Heidelberg,Springer,Springer Nature B.V,SpringerOpen
• Subject: Advertising executives / Astronomy / Astrophysics and Cosmology / Black holes / Chaos theory / Elementary Particles / Entropy / Geodesy / Gravity / Hadrons / Heat / Heavy Ions / Investigations / Liapunov exponents / Measurement Science and Instrumentation / Nuclear Energy / Nuclear Physics / Orbits / Order parameters / Phase transitions / Physics / Physics and Astronomy / Quantum Field Theories / Quantum Field Theory / Regular Article - Theoretical Physics / Shadows / Spacetime / String Theory / Theoretical physics / Thermodynamic properties / Thermodynamics