Photon sphere and phase transition of $d$-dimensional ($d\ge 5$) charged Gauss-Bonnet AdS black holes

Abstract

Motivated by recent work, nonmonotonic behaviours of photon sphere radius can be used to reflect black hole phase transition for Reissner-Nordstr$\ddot{o}$m-AdS (RN-AdS) black holes, we study the case of five-dimensional charged Gauss-Bonnet-AdS (GB-AdS) black holes in the reduced parameter space. We find that the nonmonotonic behaviours of photon sphere radius still exist. Using the coexistence line calculated from $P-V$ plane, we capture the photon sphere radius of saturated small and large black holes (the boundary of the coexistence phase), then illustrate the reduced coexistence region. The results show that, reduced coexistence region decreases with charge $Q$ but increases with Gauss-Bonnet coefficient $\alpha$. When the charge vanishes, reduced coexistence region doesn't vary with Gauss-Bonnet coefficient $\alpha$ any more. In this case, the Gauss-Bonnet coefficient $\alpha$ plays the same role as the charge of five-dimensional RN-AdS black holes. Also, the situation of higher dimension is studied in the end.

arXiv comment8 pages, 15 figures

References in corpus (59)

• Gauge Theory Correlators from Non-Critical String Theory
• de Sitter Vacua in String Theory
• Area laws for the entanglement entropy - a review
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Thermodynamics of Spacetime: The Einstein Equation of State
• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• The holographic principle
• Black Holes: Complementarity or Firewalls?
• P-V criticality of charged AdS black holes
• Effective Field Theory, Black Holes, and the Cosmological Constant
• Enthalpy and the Mechanics of AdS Black Holes
• Gauss-Bonnet Black Holes in AdS Spaces
• Quasinormal Modes of AdS Black Holes and the Approach to Thermal Equilibrium
• Black hole chemistry: thermodynamics with Lambda
• Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
• The geometry of photon surfaces
• Holographic Dual of BCFT
• 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
• Extended phase space thermodynamics and P-V criticality of black holes with nonlinear source
• Kerr-AdS analogue of triple point and solid/liquid/gas phase transition
• Moduli, Scalar Charges, and the First Law of Black Hole Thermodynamics
• Smarr Formula and an Extended First Law for Lovelock Gravity
• Critical phenomena and thermodynamic geometry of charged Gauss-Bonnet AdS black holes
• P-V criticality in the extended phase space of black holes in massive gravity
• Triple points and phase diagrams in the extended phase space of charged Gauss-Bonnet black holes in AdS space
• Repulsive Interactions and Universal Properties of Charged Anti-de Sitter Black Hole Microstructures
• Superfluid Black Holes
• van der Waals like behaviour of topological AdS black holes in massive gravity
• Quasilocal Thermodynamics of Dilaton Gravity coupled to Gauge Fields
• Einstein-Born-Infeld-Massive Gravity: adS-Black Hole Solutions and their Thermodynamical properties
• P-V Criticality in Quasitopological Gravity
• Signature of the Van der Waals like small-large charged AdS black hole phase transition in quasinormal modes
• Universal canonical black hole entropy
• How big is a black hole?
• Chiral Phase Transition from String Theory
• Analytical and exact critical phenomena of $d$-dimensional singly spinning Kerr-AdS black holes
• Behavior of quasinormal modes and Van der Waals-like phase transition of charged AdS black holes in massive gravity
• Unstable circular null geodesics of static spherically symmetric black holes, Regge poles and quasinormal frequencies
• Photon orbits and thermodynamic phase transition of $d$-dimensional charged AdS black holes
• New perspective for black hole thermodynamics in Gauss-Bonnet-Born-Infeld massive gravity
• Smarr's formula for black holes with non-linear electrodynamics
• Thermodynamical interpretation of the geometrical variables associated with null surfaces
• Behavior of Quasinormal Modes and high dimension RN-AdS Black Hole phase transition
• Mass and Free Energy of Lovelock Black Holes
• Thermodynamical Structure of AdS Black Holes in Massive Gravity with Stringy Gauge-Gravity Corrections
• Entropy in the interior of a black hole and thermodynamics
• Maxwell's equal-area law for Gauss-Bonnet Anti-de Sitter black holes
• Fidelity Susceptibility as Holographic PV-Criticality
• Complex angular momentum in black hole physics and quasinormal modes
• Probing the relationship between the null geodesics and thermodynamic phase transition for rotating Kerr-AdS black holes
• Reentrant phase transitions and triple points of topological AdS black holes in Born-Infeld-massive gravity
• Circular orbit of a test particle and phase transition of a black hole
• A note on Maxwell's equal area law for black hole phase transition
• Thermodynamics, Phase Transition and Quasinormal modes with Weyl corrections
• Thermodynamics and Phase Transition of a Gauss-Bonnet Black Hole in a Cavity
• Quasinormal Modes and Thermodynamics of Linearly Charged BTZ Black holes in Massive Gravity in (Anti)de Sitter Space Time

Cited by in corpus (8)

• Correspondence of eikonal quasinormal modes and unstable fundamental photon orbits for Kerr-Newman black hole
• Interplay between the Lyapunov exponents and phase transitions of charged AdS black holes
• Photon sphere and reentrant phase transition of charged Born-Infeld-AdS black holes
• Photon orbits and phase transitions in Born-Infeld-dilaton black holes
• Photon orbits and phase transition for Non-Linear charged Anti-de Sitter black holes
• Thermodynamics of the Reissner-Nordström-de Sitter Spacetime with Quintessence
• QED Effects on Kerr Black Hole Shadows immersed in uniform magnetic fields
• Black holes in $f(R,T)$ gravity coupled with Euler-Heisenberg electrodynamics