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arXiv · 2504.17456

Thermodynamics and Holographic RG Flow in 3D C-metric

Shaohua Xue·Yingyu Yang·Li-Xin Li
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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 $\rm I_{2}$.

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Shaohua Xue, Yingyu Yang, Li-Xin Li. 2025-05-03. Thermodynamics and Holographic RG Flow in 3D C-metric. https://arxiv.org/abs/2504.17456

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