2013/06/11 by A. Belhaj, Belhaj, A., M. Chabab +8 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.48550/arxiv.1306.2518
11 pages, 4 figures(eps), latex, major revision. Accepted for publication in IJGMMP. Updated references and another additional author
openalex publication_date 2013/06/11 · arxiv created 2014/10/17 · arxiv updated 2014/10/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The principal focus of the present work concerns the critical behaviors of a class of three dimensional black holes with a scalar field hair. Since the cosmological constant is viewed as a thermodynamic pressure and its conjugate quantity as a volume, we examine such properties in terms of two parameters B and a. The latters are related to the scalar field and the angular momentum respectively. In particular, we give the equation of state predicting a critical universal number depending on the (B,a) moduli space. In the vanishing limit of the B parameter, we recover the usual perfect gas behavior appearing in the case of the non rotating BTZ black hole. We point out that in a generic region of the (B,a) moduli space, the model behaves like a Van der Waals system.