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New type of phase transition in gravitational theories

2012/04/30 by Xián O. Camanho, Xian O. Camanho, José D. Edelstein +5 · 2 citations
Mathematics · Physics and Astronomy · #Anti-de Sitter space #Black Holes and Theoretical Physics #Classical mechanics #Constant curvature #Context (archaeology) #Cosmological constant #Cosmology and Gravitation Theories #Curvature #Geometry #Gravitation #Mathematics #Phase transition #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Space (punctuation) #Spacetime #Theoretical physics #Thermodynamics #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.86.124048

6 pages, 2 figures; v2: minor amendments; v3: some additions and slight title modification requested by journal

openalex publication_date 2012/12/26 · arxiv created 2014/05/23 · arxiv updated 2015/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We set forth a new type of phase transition that might take place in gravitational theories whenever higher-curvature corrections are considered. It can be regarded as a sophisticated version of the Hawking-Page transition, mediated by the nucleation of a bubble in anti-de Sitter (AdS) space. The bubble hosts a black hole in its interior, and separates two spacetime regions with different effective cosmological constants. We compute the free energy of this configuration and compare it with that of thermal AdS. The result suggests that a phase transition actually occurs above a certain critical temperature, ultimately changing the value of the cosmological constant. We discuss the consistency of the thermodynamic picture and its possible relevance in the context of AdS/CFT.

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