Shadow thermodynamics of AdS black hole in regular spacetime

Abstract

The dependence of the black hole (BH) shadow and thermodynamics may be structured in the regular spacetime. Taking the regular Bardeen-AdS BH as an example, the relationship between the shadow radius and the event horizon radius is derived. It is found that these two radii display a positive correlation, implying that the BH temperature can be rewritten as a function of shadow radius in the regular spacetime. By analyzing the phase transition curves under the shadow context, we found that the shadow radius can replace the event horizon radius to present the BH phase transition process, and the phase transition grade can also be revealed by the shadow radius, indicating that the shadow radius may serve as a probe for the phase structure in the regular spacetime. Utilizing the temperature-shadow radius function, the thermal profile of the Bardeen-AdS BH is established. We obtained that the temperature shows an N-type change trend in P<Pc situation. These results suggest that the phase transition process of the regular AdS BH can be completely presented in the thermal profile, and the relationship between the BH shadow and thermodynamics can also be established in the regular spacetime.

12 pages, 6 figures

References in corpus (12)

• First M87 Event Horizon Telescope Results. II. Array and Instrumentation
• First M87 Event Horizon Telescope Results. III. Data Processing and Calibration
• Constraints on black-hole charges with the 2017 EHT observations of M87*
• Magnetically charged black holes from non-linear electrodynamics and the Event Horizon Telescope
• Joule-Thomson Expansion of Charged AdS Black Holes
• Influence of Accretion Flow and Magnetic Charge on the Observed Shadows and Rings of the Hayward Black Hole
• Thermal Image and Phase Transitions of Charged AdS Black Holes using Shadow Analysis
• Circular orbit of a test particle and phase transition of a black hole
• Ruppeiner Geometry of the RN-AdS Black Hole Using Shadow Formalism
• Ehrenfest's scheme and microstructure for regular-AdS black hole in the extended phase space
• Can we know about black hole thermodynamics through shadows?
• Reinvestigating the $B$ $\to$ $PV$ decays by including the contributions from ${\varphi }_{B2}$ with the perturbative QCD approach

Cited by in corpus (9)

• Critical behavior of AdS black holes surrounded by dark fluid with Chaplygin-like equation of state
• Photon orbits and phase transition for Letelier AdS black holes immersed in perfect fluid dark matter
• Shadow thermodynamics of non-linear charged Anti-de Sitter black holes
• Shadow thermodynamics of the Hayward-AdS black hole
• Shadow Thermodynamics of AdS Black Hole with the Nonlinear Electrodynamics Term
• Thermodynamics for regular black holes as intermediate thermodynamic states and quasinormal frequencies
• Optical appearance of numerical black hole solutions in higher derivative gravity
• Four $\mathbb{STU}$ Black Holes Shadows
• Analytical Critical Phenomena of Rotating Regular AdS Black Holes with Dark Energy