Stability and Criticality Behaviors of Accelerating Charged AdS Black Holes in Rainbow Gravity

2025/07/04 by H. Belmahi, Belmahi, Hajar, Maryem Jemri +3 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.2507.03572

openalex publication_date 2025/07/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work, we investigate the thermodynamical properties of accelerated charged Anti-de Sitter black holes in the context of rainbow gravity. Concretely, we compute the corresponding quantities needed to study the thermal stability and the critical behaviors including the phase transitions. Linking the acceleration parameter A and the horizon radius r_h via a constant parameter a, we discuss the P-v criticality behaviors by calculating the critical pressure P_c, the critical temperature T_c and the critical specific volume v_c in terms of a and the rainbow gravity parameter ε. As results, we reveal that the ratio \dfracP_cv_cT_c is an universal number with respect to the charge. In small limits of the external parameters, we recover the Van der Waals fluid behaviors.

Citations

• Critical slowing down of black hole phase transition and kinetic crossover in supercritical regime
• Super-entropic black holes in gravity's rainbow and determining constraints on rainbow functions
• Thermodynamics of charged and accelerating black holes
• Constrained Deflection Angle and Shadows of Rotating Black Holes in Einstein-Maxwell-scalar Theory
• Generalized Euler Equation from Effective Action: Implications for the Smarr Formula in AdS Black Holes
• A Supersymmetric Suspicion From Accelerating Black Hole Shadows
• Constraints on Quasinormal modes from Black Hole Shadows in regular non-minimal Einstein Yang-Mills Gravity
• Shadows of 5D Black Holes from String Theory
• Black hole chemistry: thermodynamics with Lambda
• Observation of Gravitational Waves from a Binary Black Hole Merger
• Thermodynamics of black holes in anti-de Sitter space
• The four laws of black hole mechanics
• Black Holes and Entropy
• Particle creation by black holes

Cited by

• Dunkl-Corrected Deformation of RN-AdS Black Hole Thermodynamics
• On RN-AdS Black Holes with a Cloud of Strings and Quintessence in Noncommuative Geometry
• Thermodynamics and Criticality of Noncommutative RN-AdS Black Holes

Related

• AdS4 black holes with nonlinear source in rainbow gravity
• P-V criticality of charged AdS black holes
• Thermodynamics and P-V Criticality of Charged AdS Black Holes with a Cloud of Strings in Kalb-Ramond Gravity
• Cooling-heating phase transition and critical behavior of the charged accelerating AdS black hole
• Thermodynamics of novel charged dilaton black holes in gravity's rainbow