Homogeneous vacua of (generalized) new massive gravity

2010/06/30 by Ioannis Bakas, Christos Sourdis · 18 citations
Physics and Astronomy · #Algebraic number #Anisotropy #Axial symmetry #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Gravitation #Homogeneous #Massive gravity #Noncommutative and Quantum Gravity Theories #Scaling #Symmetry (geometry) #gr-qc #hep-th

paper · pdf · doi:10.1088/0264-9381/28/1/015012

published in Classical and Quantum Gravity 28(1), 015012 (IOP Publishing) · 1+25 pages; minor additions in conclusions (v2 to appear in Class. Quantum Grav.)

arxiv created 2010/11/24 · openalex publication_date 2010/12/10 · arxiv updated 2010/12/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

We obtain all homogeneous solutions of new massive gravity models on S 3 and AdS 3 by extending previously known results for the cosmological topologically massive theory of gravity in three dimensions. In all cases, apart from the maximally symmetric vacua, there are axially symmetric (i.e. bi-axially squashed) as well as totally anisotropic (i.e. tri-axially squashed) metrics of a special algebraic type. Transitions among the vacua are modeled by instanton solutions of (3 + 1) Hořava–Lifshitz gravity with an anisotropic scaling parameter z = 4.

Citations

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