Thermodynamics and Holographic RG Flow in 3D C-metric

2025/04/24 by Shaohua Xue, Xue, Shaohua, Yingyu Yang +3
Medicine · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Medical Imaging Techniques and Applications

paper · pdf · doi:10.48550/arxiv.2504.17456

openalex publication_date 2025/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we investigate the microscopic derivation of the entropy and the holographic RG flow in 3D C-metric. We first discuss the case of a sector in BTZ (Banados-Teitelboim-Zanelli) black hole. By rescaling the Newton's constant we recover the area law of entropy of this sector by microstate counting. Then we apply this technique to all accelerating BTZ phases in 3D C-metric. Finally, for the boundary entropy in 3D C-metric, we study the monotonicity of the g-function of 3D C-metric in small acceleration limit and find that the g-theorem is satisfied only in \rm I₂.

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Related

• Aspects of three-dimensional C-metric
• Thermodynamics and Holography of Three-dimensional Accelerating black holes
• More on thermal holographic RG flows in a 3D gauged supergravity
• Holography, CFT and Black Hole Entropy
• Entropy production, viscosity bounds and bumpy black holes