Phases of Global AdS Black Holes
Pallab Basu, Chethan Krishnan, P. N. Bala Subramanian
TL;DR
This paper explores the complex phase structure of charged scalar fields coupled to gravity in asymptotic AdS_4 spacetime, revealing how phase transitions depend on scalar charge and extremal limits.
Contribution
It provides a detailed phase diagram analysis for various solutions including AdS, boson stars, and black holes, highlighting qualitative changes with scalar charge variations.
Findings
Phase diagram mapped for four key solutions.
Qualitative changes in phase structure with scalar charge.
New features identified in extremal black hole limits.
Abstract
We study the phases of gravity coupled to a charged scalar and gauge field in an asymptotically Anti-de Sitter spacetime () 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.
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