On the thermodynamics of the black hole and hairy black hole transitions in the asymptotically flat spacetime with a box

2017/08/31 by Yan Peng, Bin Wang, Yunqi Liu · 1 citation
Physics and Astronomy · #AdS black hole #Black Holes and Theoretical Physics #Black brane #Black hole (networking) #Cosmology and Gravitation Theories #Critical phenomena #Extremal black hole #Holography #Noncommutative and Quantum Gravity Theories #Phase transition #Scalar (mathematics) #Spacetime #hep-th

paper · pdf · doi:10.1140/epjc/s10052-018-5652-0

published as Eur. Phys. J. C (2018) 78:176 · 12 pages, 6 figures. Accepted for publication in EPJC. arXiv admin note: text overlap with arXiv:1705.08694

arxiv created 2018/02/28 · openalex publication_date 2018/03/01 · openalex created_date 2018/03/29 · arxiv updated 2018/04/04 · openalex updated_date 2026/08/06

Abstract

We study the asymptotically flat quasi-local black hole/hairy black hole model with nonzero mass of the scalar field. We disclose effects of the scalar mass on transitions in a grand canonical ensemble with condensation behaviors of the parameter ψ ₂ , which is similar to approaches in holographic theories. We find that a more negative scalar mass makes the phase transition easier. We also obtain the analytical relation ψ ₂\varpropto (T_c-T)^1/2 around the critical phase transition points, implying a second order phase transition. Besides the parameter ψ ₂ , we show that metric solutions can be used to disclose properties of the transitions. In this work, we observe that phase transitions in a box are strikingly similar to holographic transitions in AdS gravity and the similarity provides insights into holographic theories.

Citations

• Studies of a general flat space/boson star transition model in a box through a language similar to holographic superconductors
• Building a Holographic Superconductor
• Introducing the black hole
• General holographic superconductor models with Gauss–Bonnet corrections
• Various types of phase transitions in the AdS soliton background
• Phase transitions and critical behaviour for charged black holes
• The Thermodynamics of Black Holes
• Thermodynamics of black holes in anti-de Sitter space
• Charged black hole in a canonical ensemble
• The Large-N Limit of Superconformal Field Theories and Supergravity
• Holographic Josephson junction from massive gravity
• The large N limit of superconformal field theories and supergravity

Cited by

• Stationary scalar hairy configurations supported by Neumann compact stars