1999/06/30 by Alejandro Corichi, Andrés Gomberoff, Andres Gomberoff · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.1088/0264-9381/16/11/309
published as Class.Quant.Grav. 16 (1999) 3579-3598 · 23 pages, 2 figures, Revtex file
openalex publication_date 1999/10/08 · arxiv created 1999/10/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We consider (2 + 1)-dimensional gravity with a cosmological constant, and explore a duality that exists between spacetimes that have the de Sitter group SO (3,1) as its local isometry group. In particular, the Lorentzian theory with a positive cosmological constant is dual to the Euclidean theory with a negative cosmological constant. We use this duality to construct a mapping between apparently unrelated spacetimes. More precisely, we exhibit a relation between the Euclidean BTZ family and some T 2 -cosmological solutions, and between de Sitter point-particle spacetimes and the analytic continuations of anti-de Sitter point particles. We discuss some possible applications for black hole and anti-de Sitter thermodynamics.