2007/06/08 by Ling Bao, Martin Cederwall, Bengt E. W. Nilsson +1 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1088/0264-9381/25/9/095001
published as Class.Quant.Grav.25:095001,2008 · 26 pp., 15 figs., plain tex
arxiv created 2007/06/08 · openalex publication_date 2008/04/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
We discuss various aspects of the dimensional reduction of gravity with the Einstein–Hilbert action supplemented by a lowest-order deformation formed as the Riemann tensor raised to powers two, three or four. In the case of R 2 we give an explicit expression, and discuss the possibility of extended coset symmetries, especially for reduction on an n -torus to three dimensions. Then we start an investigation of the dimensional reduction of R 3 and R 4 by calculating some terms relevant for the coset formulation, aiming in particular towards in three dimensions and an investigation of the derivative structure. We emphasize some issues concerning the need for the introduction of non-scalar automorphic forms in order to realize certain expected enhanced symmetries.