2007/09/06 by James E. Lidsey, James E Lidsey, Karim A. Malik +1
Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Compactification (mathematics) #Cosmology and Gravitation Theories #Einstein #Extra dimensions #Homogeneous space #Moduli #Moduli space #Noncommutative and Quantum Gravity Theories #Scalar (mathematics) #Scalar field #Scaling #astro-ph #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/25/6/065004
published as Class.Quant.Grav.25:065004,2008 · 21 pages, 3 figures
arxiv created 2007/09/06 · openalex publication_date 2008/03/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Oscillating moduli fields can support a cosmological scaling solution in the presence of a perfect fluid when the scalar field potential satisfies appropriate conditions. We examine when such conditions arise in higher-dimensional, non-linear sigma-models that are reduced to four dimensions under a generalized Scherk-Schwarz compactification. We show explicitly that scaling behaviour is possible when the higher-dimensional action exhibits a global SL(n,R) or O(2,2) symmetry. These underlying symmetries can be exploited to generate non-trivial scaling solutions when the moduli fields have non-canonical kinetic energy. We also consider the compactification of eleven-dimensional vacuum Einstein gravity on an elliptic twisted torus.