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arXiv · 1306.2518

Critical Behaviors of 3D Black Holes with a Scalar Hair

A. Belhaj·M. Chabab·H. EL Moumni·K. Masmar·M. B. Sedra
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Abstract

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.

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A. Belhaj, M. Chabab, H. EL Moumni, K. Masmar, M. B. Sedra. 2014-10-17. Critical Behaviors of 3D Black Holes with a Scalar Hair. https://arxiv.org/abs/1306.2518

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