2008/07/21 by Dionysios Anninos, Wei Li, Megha Padi +2 · 394 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Cosmological constant #Cosmology and Gravitation Theories #Diffeomorphism #Gravitation #Graviton #Isometry (Riemannian geometry) #Massive gravity #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Theoretical physics #Vacuum state #hep-th
paper · pdf · doi:10.1088/1126-6708/2009/03/130
published in Journal of High Energy Physics 2009(03), 130 (Springer Nature) · 29 pages
arxiv created 2008/07/21 · openalex publication_date 2009/03/26 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Three dimensional topologically massive gravity (TMG) with a negative cosmological constant -ℓ-2 and positive Newton constant G admits an AdS3 vacuum solution for any value of the graviton mass μ. These are all known to be perturbatively unstable except at the recently explored chiral point μℓ=1. However we show herein that for every value of μℓ< 3 there are two other (potentially stable) vacuum solutions given by SL(2,R)x U(1)-invariant warped AdS3 geometries, with a timelike or spacelike U(1) isometry. Critical behavior occurs at μℓ=3, where the warping transitions from a stretching to a squashing, and there are a pair of warped solutions with a null U(1) isometry. For μℓ>3, there are known warped black hole solutions which are asymptotic to warped AdS3. We show that these black holes are discrete quotients of warped AdS3 just as BTZ black holes are discrete quotients of ordinary AdS3. Moreover new solutions of this type, relevant to any theory with warped AdS3 solutions, are exhibited. Finally we note that the black hole thermodynamics is consistent with the hypothesis that, for μℓ>3, the warped AdS3 ground state of TMG is holographically dual to a 2D boundary CFT with central charges cR=15(μℓ)2+81\over Gμ((μℓ)2+27) and cL=12 μℓ2\over G((μℓ)2+27).