Photon Orbits and Thermodynamic Phase Transition of Regular AdS Black Holes

Abstract

We probe the phase structure of the regular AdS black holes using the null geodesics. The radius of photon orbit and minimum impact parameter shows a non-monotonous behaviour below the critical values of the temperature and the pressure, corresponding to the phase transition in extended phase space. The respective differences of the radius of unstable circular orbit and the minimum impact parameter can be seen as the order parameter for the small-large black hole phase transition, with a critical exponent $1/2$. Our study shows that there exists a close relationship between the gravity and thermodynamics for the regular AdS black holes.

arXiv commentThoroughly revised. 12 pages, 11 figures

References in corpus (33)

• P-V criticality of charged AdS black holes
• Formation and evaporation of non-singular black holes
• Enthalpy and the Mechanics of AdS Black Holes
• Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• Geodesic stability, Lyapunov exponents and quasinormal modes
• The Bardeen Model as a Nonlinear Magnetic Monopole
• Black hole chemistry: thermodynamics with Lambda
• Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
• Gravitational lensing in the strong field limit
• Pressure and volume in the first law of black hole thermodynamics
• Construction of Regular Black Holes in General Relativity
• Shadow of rotating regular black holes
• Connection between black-hole quasinormal modes and lensing in the strong deflection limit
• Quasinormal modes of regular black holes
• Shapes of rotating nonsingular black hole shadows
• Signature of the Van der Waals like small-large charged AdS black hole phase transition in quasinormal modes
• Gravitational lensing by a regular black hole
• Corrected form of the first law of thermodynamics for regular black holes
• Critical phenomena of regular black holes in anti-de Sitter space-time
• Bardeen black hole chemistry
• Photon orbits and thermodynamic phase transition of $d$-dimensional charged AdS black holes
• $D$-dimensional Bardeen-AdS black holes in Einstein-Gauss-Bonnet theory
• First law and Smarr formula of black hole mechanics in nonlinear gauge theories
• Probing the relationship between the null geodesics and thermodynamic phase transition for rotating Kerr-AdS black holes
• Regular black holes and its thermodynamics in Lovelock gravity
• Circular orbit of a test particle and phase transition of a black hole
• The calculation of the thermodynamic quantities of the Bardeen black hole
• Repulsive Interactions in the Microstructure of Regular Hayward Black Hole in Anti-de Sitter Spacetime
• Photon sphere and reentrant phase transition of charged Born-Infeld-AdS black holes
• Probing correlation between photon orbits and phase structure of charged AdS black hole in massive gravity background
• Photon orbits and phase transitions in Born-Infeld-dilaton black holes
• A Note on Circular Geodesics and Phase Transitions of Black Holes
• The description of phase transition of Bardeen black hole in the Ehrenfest scheme

Cited by in corpus (14)

• Regular black holes: A short topic review
• Repulsive Interactions in the Microstructure of Regular Hayward Black Hole in Anti-de Sitter Spacetime
• Photon orbits and phase transition for Non-Linear charged Anti-de Sitter black holes
• Photon orbits and phase transition for Letelier AdS black holes immersed in perfect fluid dark matter
• Deciphering black hole phase transitions through photon spheres
• Can we know about black hole thermodynamics through shadows?
• Can shadows connect black hole microstructures?
• Euclidean Thermodynamics and Lyapunov Exponents of Einstein-Power-Yang-Mills AdS Black Holes
• Greybody factor for an electrically charged regular-de Sitter black holes in $d$-dimensions
• Photon orbits and phase transition for gravitational decoupled Kerr anti-de Sitter black holes
• Thermodynamics, photon sphere and thermodynamic geometry of Ayón-Beato-García Spacetime
• Black hole images as probes of thermodynamic evolution
• Connections between entropy surface density and microscopic property in black holes
• Revisiting particle circular orbits as probes of black hole phase transitions