Phases of Global AdS Black Holes

Abstract

We study the phases of gravity coupled to a charged scalar and gauge field in an asymptotically Anti-de Sitter spacetime ($Ad{S}_4$) in the grand canonical ensemble. For the conformally coupled scalar, an intricate phase diagram is charted out between the four relevant solutions: global AdS, boson star, Reissner-Nordstrom black hole and the hairy black hole. The nature of the phase diagram undergoes qualitative changes as the charge of the scalar is changed, which we discuss. We also discuss the new features that arise in the extremal limit.

17 pages, 8 figures, Appendix added

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Cited by in corpus (16)

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• Scalar field condensation behaviors around reflecting shells in Anti-de Sitter spacetimes
• Studies of a general flat space/boson star transition model in a box through a language similar to holographic superconductors
• Stability of Charged Global AdS${}_4$ Spacetimes
• Polarised Black Holes in ABJM
• The large charge expansion and AdS/CFT
• No hair theorem for spherically symmetric regular compact stars with Dirichlet boundary conditions
• Hairy black holes in AdS with Robin boundary conditions
• Large regular reflecting stars have no scalar field hair
• Phases of a 10-D Holographic hard wall model
• Thermal phase transition in $F(R)$-charged $Ad{S}_4$-scalar theory
• A Hairy Box in Three Dimensions
• Asymptotic critical behavior of holographic phase transition at finite topological charge -- the spectrum of excited states becomes continuous at $T=0$
• Many phases in a hairy box in three dimensions