2019/01/31 by Daniel Flores-Alfonso, Hernando Quevedo · 9 citations
Physics and Astronomy · #AdS black hole #Ansatz #Black Holes and Theoretical Physics #Black hole (networking) #Cosmological constant #Cosmology and Gravitation Theories #Coupling constant #Euclidean geometry #Noncommutative and Quantum Gravity Theories #Renormalization group #Sigma #Sigma model #Universality (dynamical systems) #gr-qc
paper · pdf · doi:10.1088/1361-6382/ab2c20
published in Classical and Quantum Gravity 36(15), 154001 (IOP Publishing) · Revised version published in CQG
openalex publication_date 2019/06/25 · openalex created_date 2019/07/30 · arxiv created 2019/09/09 · arxiv updated 2019/09/10 · openalex updated_date 2026/08/05
Abstract A modification of the hedgehog ansatz has recently lead to novel exact black hole solutions with selfgravitating SU(2) Skyrme fields. Considering a negative cosmological constant the black holes are not asymptotically anti-de Sitter (AdS) but rather asymptote to an AdS version of Barriola–Vilenkin spacetime. We examine the thermodynamics of the system interpreting the cosmological constant as a bulk pressure. We use the standard counterterm method to obtain a finite Euclidean action. For a given coupling of the matter action the system behaves as does a charged AdS black hole in the fixed charged ensemble. We find that in the limit case when the Skyrme model becomes a nonlinear sigma model the system exhibits a first order phase transition of Hawking–Page type. The universality class of these Einstein–Skyrme black holes is that of van der Waals.